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At the grocery store Ryan bought a loaf of bread and some apples. The loaf of bread cost $3.95 and the apples cost $1.29 per pound. If Ryan spent $10.40 for the loaf of bread and apples, how many pounds of apples did he buy? Set up the problem and solve it. (1 point)

Responses

10.40 - 1.29 = 3.95x, Ryan bought 6.45 pounds of apples
10.40 - 1.29 = 3.95 x , Ryan bought 6.45 pounds of apples

3.95 - 1.29x = 10.40, Ryan bought 5.16 pounds of apples
3.95 - 1.29 x = 10.40, Ryan bought 5.16 pounds of apples

1.29x + 3.95 = 10.40, Ryan bought 5 pounds of apples
1.29 x + 3.95 = 10.40, Ryan bought 5 pounds of apples

3.95 + 1.29x = 10.40, Ryan bought 4 pounds of apples

7 answers

To find out how many pounds of apples Ryan bought, we can set up the equation based on the total amount he spent.

Let \( x \) be the number of pounds of apples Ryan bought. The cost of the apples can be expressed as \( 1.29x \).

The total cost for the loaf of bread and the apples can be set up as: \[ 3.95 + 1.29x = 10.40 \]

Now, we can solve for \( x \):

  1. Subtract the cost of the bread from the total amount spent: \[ 1.29x = 10.40 - 3.95 \] \[ 1.29x = 6.45 \]

  2. Now, divide both sides by 1.29 to solve for \( x \): \[ x = \frac{6.45}{1.29} \approx 5 \]

Thus, Ryan bought approximately 5 pounds of apples.

So the correct response is: 1.29x + 3.95 = 10.40, Ryan bought 5 pounds of apples.

Johan practices the drums for 45 minutes on Saturday and 25 minutes on most weekdays. Last week he practiced 120 minutes. How many weekdays did he practice? Write an equation in the form of px + q = r to represent this problem.(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
___x +___=___

To set up the equation in the form of \( px + q = r \) for this problem, we need to express the total practice time Johan had over the week.

  1. Let \( x \) be the number of weekdays he practiced.
  2. He practices 25 minutes on each weekday, so for \( x \) weekdays, he practices \( 25x \) minutes.
  3. On Saturday, he practiced for 45 minutes.
  4. The total practice time for the week is 120 minutes.

Putting this together, the equation becomes:

\[ 25x + 45 = 120 \]

Now we can fill in the values to match the format \( px + q = r \):

  • \( p = 25 \)
  • \( q = 45 \)
  • \( r = 120 \)

So the complete response will be:

25x + 45 = 120

Jack won 65 lollipops playing basketball at the county fair. At school he gave four to every student in his math class. He only has 1 remaining. How many students are in his class?(1 point)
Responses

4
4

17
17

16
16

15
15

Let's set up the problem step by step to find out how many students are in Jack's math class.

  1. Jack won 65 lollipops.
  2. He gave 4 lollipops to each student in his class.
  3. He has 1 lollipop remaining.

Since he has 1 lollipop left, that means the total number of lollipops he gave away can be calculated by subtracting the remaining lollipop from the initial total:

\[ 65 - 1 = 64 \text{ lollipops given away} \]

Next, since Jack gave away 4 lollipops to each student, we can let \( x \) represent the number of students in his class. The equation can be set up as:

\[ 4x = 64 \]

Now, we can solve for \( x \):

  1. Divide both sides by 4: \[ x = \frac{64}{4} \] \[ x = 16 \]

Thus, the number of students in Jack's class is 16.

The correct response is: 16.

Angela earns a weekly allowance at the start of the week. She started the week with just her weekly allowance. Then, she spent half her weekly allowance at the movies. To earn more money, her parents let her clean the windows in the house for $5. what is her weekly allowance if she ended the week with $8? Solve using arithmetic or algebra, and explain your steps.

Let's denote Angela's weekly allowance as \( A \).

  1. At the start of the week, Angela receives her weekly allowance, so she has \( A \).

  2. She then spends half of her weekly allowance at the movies. Since she spends half, the amount spent is \( \frac{1}{2} A \). After this expense, the amount she has left is: \[ A - \frac{1}{2} A = \frac{1}{2} A \]

  3. Angela then earns an additional $5 by cleaning the windows. After earning this money, her total amount is: \[ \frac{1}{2} A + 5 \]

  4. At the end of the week, we know she has $8. Therefore, we can set up the equation: \[ \frac{1}{2} A + 5 = 8 \]

  5. Now, to solve for \( A \), we first subtract 5 from both sides: \[ \frac{1}{2} A = 8 - 5 \] \[ \frac{1}{2} A = 3 \]

  6. Next, to isolate \( A \), we multiply both sides by 2: \[ A = 3 \times 2 \] \[ A = 6 \]

Therefore, Angela's weekly allowance is $6.

Summary of Steps:

  1. Let \( A \) be the weekly allowance.
  2. After spending half of it at the movies, she has \( \frac{1}{2} A \).
  3. After earning $5 from cleaning, her total is \( \frac{1}{2} A + 5 \).
  4. Set the total equal to $8 and solve for \( A \): \[ \frac{1}{2} A + 5 = 8 \Rightarrow A = 6 \]

Angela's weekly allowance is $6.