1 of 71 of 7 Items

Question

Question 1
Milly is selling Girl Scout cookies. She sells 8 boxes every 3 days. How many days will it take her to sell 56 boxes?

Determine the proportion to use to solve this problem.

(1 point)
Drop target 1
Drop target 2
Drop target 3
Question 2
Milly is selling Girl Scout cookies. She sells 8 boxes every 3 days. How many days will it take her to sell 56 boxes?(1 point)
Responses

7 days
7 days

10 days
10 days

12 days
12 days

21 days
21 days
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page 17 of 17

Answer 1

To determine how many days it will take Milly to sell 56 boxes of Girl Scout cookies, we can set up a proportion based on the rate at which she sells the cookies.

Milly sells 8 boxes in 3 days. This gives us the rate:

• 8 boxes / 3 days = 56 boxes / x days

Now we can set up the proportion: \[ \frac{8 \text{ boxes}}{3 \text{ days}} = \frac{56 \text{ boxes}}{x \text{ days}} \]

Next, we cross-multiply to solve for \(x\): \[ 8x = 56 \times 3 \] \[ 8x = 168 \] \[ x = \frac{168}{8} \] \[ x = 21 \]

So, it will take Milly 21 days to sell 56 boxes.

Answer to Question 1:

The proportion to use is \(\frac{8 \text{ boxes}}{3 \text{ days}} = \frac{56 \text{ boxes}}{x \text{ days}}\).

Answer to Question 2:

21 days

Answer 2

2 of 72 of 7 Items

Question 1
Hunter was paid $72 dollars for 5 hours of raking leaves and mowing the lawn. What was his hourly pay?

Determine the proportion to use to solve this problem.



(1 point)
Drop target 1
Drop target 2
Drop target 3
Question 2
What was his hourly pay? Round to the nearest dollar.(1 point)
Responses

$10.00 per hour
$10.00 per hour

$12.00 per hour
$12.00 per hour

$14.00 per hour
$14.00 per hour

$15.00 per hour
$15.00 per hour
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page 17 of 17

Answer 3

To determine Hunter's hourly pay, we can set up a proportion that relates his total pay to the total hours worked.

Hunter was paid $72 for 5 hours of work. We want to find out how much he makes per hour.

Question 1:

To set up the proportion, we can express it as follows: \[ \frac{Total : Pay}{Hours : Worked} = \frac{Hourly : Pay}{1 : Hour} \] This means: \[ \frac{72 : dollars}{5 : hours} = \frac{x : dollars}{1 : hour} \]

Answer to Question 1:

The proportion to use is \(\frac{72 : dollars}{5 : hours} = \frac{x : dollars}{1 : hour}\).

Question 2:

Now we can solve for \(x\) (the hourly pay) by cross-multiplying: \[ 72 \cdot 1 = 5 \cdot x \] \[ 72 = 5x \] \[ x = \frac{72}{5} \] \[ x = 14.40 \]

Rounding this to the nearest dollar gives us \(14\).

Answer to Question 2:

$14.00 per hour

Answer 4

3 of 73 of 7 Items

Question 1
The ratio of boys to girls in the 7th grade at GACA is 2 to 4. If there were 850 students in the 7th grade, how many would you expect to be girls?

Determine the proportion to use to solve this problem.

(1 point)
Drop target 1
Drop target 2
Drop target 3
Question 2
How many would you expect to be girls? Round to the nearest whole number.(1 point)
Responses

213 girls out of 850 students
213 girls out of 850 students

425 girls out of 850 students
425 girls out of 850 students

567 girls out of 850 students
567 girls out of 850 students

607 girls out of 850 students
607 girls out of 850 students
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page 17 of 17

Answer 5

To determine how many girls we would expect in the 7th grade at GACA given the ratio of boys to girls and the total number of students, we can set up a proportion based on the given ratio.

Question 1:

The ratio of boys to girls is 2 to 4, which can also be expressed as 2 boys for every 4 girls. This means that the total parts of boys and girls combined is \(2 + 4 = 6\) parts.

Thus, the proportion can be set up as follows, letting \(x\) be the number of girls: \[ \frac{Boys}{Girls} = \frac{2}{4} = \frac{Boys}{Total : Students} \] This gives us: \[ \frac{4 : (Girls)}{6 : (Total : Students)} = \frac{x}{850} \]

Answer to Question 1:

The proportion to use is \(\frac{4}{6} = \frac{x}{850}\).

Question 2:

Now, we can solve for \(x\) (the number of girls):

1. Cross-multiply: \[ 4 \cdot 850 = 6 \cdot x \] \[ 3400 = 6x \]

2. Divide by 6 to find \(x\): \[ x = \frac{3400}{6} \approx 566.67 \] Rounding to the nearest whole number gives us 567.

Answer to Question 2:

567 girls out of 850 students.

Answer 6

4 of 74 of 7 Items

Question 1
The incoming 7th grade class has a choice of FRENCH or SPANISH as a language elective. There are 3 times as many Spanish classes as French classes (or 3 to 1). How many students can choose Spanish if there are 850 students?

Determine the proportion to use to solve this problem.

(1 point)
Drop target 1
Drop target 2
Drop target 3
Question 2
How many students can choose Spanish if there are 850 students? Round to the nearest whole number.(1 point)
Responses

213 students can take Spanish
213 students can take Spanish

283 students can take Spanish
283 students can take Spanish

425 students can take Spanish
425 students can take Spanish

638 students can take Spanish
638 students can take Spanish
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page 17 of 17

Answer 7

To determine how many students can choose Spanish based on the given ratio of Spanish classes to French classes, we can set up a proportion based on the total number of students.

Question 1:

The ratio of Spanish classes to French classes is 3 to 1, which means for every 4 parts (3 Spanish + 1 French), 3 parts are Spanish.

The total parts are: \[ 3 \text{ (Spanish)} + 1 \text{ (French)} = 4 \text{ (Total Parts)} \]

This can be represented in a proportion as follows, letting \(y\) be the number of students choosing Spanish: \[ \frac{Spanish}{Total : Students} = \frac{3}{4} \] So, the proportion can be set up like this: \[ \frac{3}{4} = \frac{y}{850} \]

Answer to Question 1:

The proportion to use is \(\frac{3}{4} = \frac{y}{850}\).

Question 2:

Now we can solve for \(y\):

1. Cross-multiply: \[ 3 \cdot 850 = 4 \cdot y \] \[ 2550 = 4y \]

2. Divide by 4 to find \(y\): \[ y = \frac{2550}{4} = 637.5 \] Rounding to the nearest whole number gives us 638.

Answer to Question 2:

638 students can take Spanish.

Answer 8

5 of 75 of 7 Items

Question 1
Margo is trying to be financially responsible. She is going to save 22% of her paycheck every month. If her paycheck is $2500 each month, then how much money will she have saved after a year of saving?

Determine the proportion to determine 22% of $2500.

(1 point)
Drop target 1
Drop target 2
Drop target 3
Question 2
Margo is trying to be financially responsible. She is going to save 22% of her paycheck every month. If her paycheck is $2500 each month, then how much money will she have saved after a year of saving?(1 point)
Responses

$1,363
$1,363

$6,600
$6,600

$9,500
$9,500

$11,364
$11,364
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page 17 of 17

Answer 9

To determine how much Margo will save after a year by saving 22% of her monthly paycheck, we can first calculate how much she saves each month, and then multiply that by the number of months in a year.

Question 1:

To find 22% of $2500, we can set up the proportion: \[ \frac{22}{100} = \frac{Savings}{2500} \]

This means we can rephrase it as: \[ Savings = \frac{22}{100} \times 2500 \]

Answer to Question 1:

The proportion to determine 22% of $2500 is: \(\frac{22}{100} = \frac{Savings}{2500}\).

Question 2:

Now let's calculate how much Margo saves each month: \[ Savings_per_month = \frac{22}{100} \times 2500 = 0.22 \times 2500 = 550. \]

Now, we multiply that monthly saving by the number of months in a year: \[ Total_Savings_year = 550 \times 12 = 6600. \]

Answer to Question 2:

$6,600.