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Jeremy buys a value pack of cheese crackers that contains

42 1/2
ounces of crackers. He divides this into servings of
1 1/4
ounces each. What is the total number of servings Jeremy can make from the value pack?

A. 8 1/2

servings

B. 34
servings

C. 43 3/4

servings

D. 53
servings

11 answers

To find out how many servings Jeremy can make from the value pack of cheese crackers, we need to divide the total weight of the crackers by the weight of each serving.

  1. Convert the mixed numbers to improper fractions:

    • For 42 1/2 ounces: \[ 42 \frac{1}{2} = \frac{42 \times 2 + 1}{2} = \frac{84 + 1}{2} = \frac{85}{2} \text{ ounces} \]
    • For 1 1/4 ounces: \[ 1 \frac{1}{4} = \frac{1 \times 4 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4} \text{ ounces} \]

  2. Divide the two fractions: To find the total number of servings, we perform the division: \[ \text{Number of servings} = \frac{85/2}{5/4} \]

    Dividing by a fraction is the same as multiplying by its reciprocal: \[ \frac{85}{2} \div \frac{5}{4} = \frac{85}{2} \times \frac{4}{5} = \frac{85 \times 4}{2 \times 5} \] Simplifying this expression: \[ = \frac{340}{10} = 34 \]

Therefore, the total number of servings Jeremy can make from the value pack is 34 servings.

The correct answer is B. 34 servings.

A hot air balloon leaves the ground and rises to an elevation of 1,100 feet. During the next 30 minutes, it descends 500 feet, rises 950 feet, descends 375 feet, and finally passes over a school. What is the elevation of the balloon when it passes over the school?

A.
1,025 feet

B.
1,100 feet

C.
1,175 feet

D.
1,550 feet

To determine the elevation of the hot air balloon when it passes over the school, we start with its initial elevation and then account for all the changes in height.

  1. Initial elevation: 1,100 feet.

  2. Descends 500 feet: \[ 1,100 - 500 = 600 \text{ feet} \]

  3. Rises 950 feet: \[ 600 + 950 = 1,550 \text{ feet} \]

  4. Descends 375 feet: \[ 1,550 - 375 = 1,175 \text{ feet} \]

Thus, the elevation of the balloon when it passes over the school is 1,175 feet.

The correct answer is C. 1,175 feet.

Aaron works
3 1/2
hours every Saturday at a rate of $7.25 per hour. He is paid every four weeks. If his boss gives him a $1.00 raise, how much will Aaron be paid in his next paycheck?
A.
$95.70

B.
$101.50

C.
$108.90

D.
$115.50

To calculate Aaron's pay for his next paycheck after receiving a $1.00 raise, we first need to determine his new hourly rate and how much he earns in a four-week pay period.

  1. Calculate the new hourly rate: \[ \text{New hourly rate} = \text{Current rate} + \text{Raise} = 7.25 + 1.00 = 8.25 \text{ dollars per hour} \]

  2. Calculate the number of hours worked in four weeks: Since Aaron works \(3 \frac{1}{2}\) hours every Saturday, we need to find out how many Saturdays are in four weeks: \[ \text{Total hours for four weeks} = 3.5 \text{ hours/week} \times 4 \text{ weeks} = 14 \text{ hours} \]

  3. Calculate Aaron's total pay for the next paycheck: \[ \text{Total pay} = \text{Total hours} \times \text{New hourly rate} = 14 \text{ hours} \times 8.25 \text{ dollars/hour} \] Now we perform the multiplication: \[ 14 \times 8.25 = 115.50 \text{ dollars} \]

Therefore, Aaron's total pay in his next paycheck will be $115.50.

The correct answer is D. $115.50.

What is the value of the expression
2/3 (-6 + 4)?

A.
0

B.
-2/3

C.
4/3

D.
-4/3

To evaluate the expression \(\frac{2}{3} (-6 + 4)\), we follow these steps:

  1. Calculate the value inside the parentheses: \[ -6 + 4 = -2 \]

  2. Multiply by \(\frac{2}{3}\): \[ \frac{2}{3} \times (-2) = \frac{2 \times -2}{3} = \frac{-4}{3} \]

Thus, the value of the expression \(\frac{2}{3} (-6 + 4)\) is \(-\frac{4}{3}\).

The correct answer is D. -4/3.

Jason is saving up for a skateboard and helmet. The skateboard is $45.50 with tax and the helmet is $18.25 with tax. He earned
1/3
of the money by mowing lawns and the rest by babysitting. How much did Jason earn babysitting?

A.
$19.13

B.
$21.25

C.
$30.33

D.
$42.50

To determine how much Jason earned babysitting, we first need to calculate the total cost of the skateboard and helmet, and then find out how much he earned from babysitting based on the given information.

  1. Calculate the total cost of the skateboard and helmet: \[ \text{Total cost} = \text{Cost of skateboard} + \text{Cost of helmet} = 45.50 + 18.25 \] \[ = 63.75 \]

  2. Determine how much Jason earned mowing lawns: Since Jason earned \(\frac{1}{3}\) of the total amount from mowing lawns, we calculate: \[ \text{Amount earned from mowing lawns} = \frac{1}{3} \times 63.75 \] \[ = \frac{63.75}{3} = 21.25 \]

  3. Calculate how much Jason earned babysitting: The total amount earned is the sum of what he earned from mowing lawns and babysitting. Since he earned \(\frac{1}{3}\) mowing lawns, he earned the remaining \(\frac{2}{3}\) from babysitting. \[ \text{Amount earned from babysitting} = \text{Total amount} - \text{Amount earned from mowing lawns} \] \[ = 63.75 - 21.25 = 42.50 \]

Thus, Jason earned $42.50 babysitting.

The correct answer is D. $42.50.

Molly's family has $3,000 set aside for an upcoming vacation. The family plans to spend
3/5
of this amount on gasoline for the drive and motel rooms along the way and
1/2
of the remainder on meals. How much does Molly's family plan to spend on meals?

A.
$600

B.
$900

C.
$1,200

D.
$1,500

To determine how much Molly's family plans to spend on meals, we will follow these steps:

  1. Calculate the amount allocated for gasoline and motel rooms: \[ \text{Amount for gasoline and motel} = \frac{3}{5} \times 3,000 \] \[ = \frac{3,000 \times 3}{5} = \frac{9,000}{5} = 1,800 \]

  2. Calculate the remaining amount after gasoline and motel expenses: \[ \text{Remaining amount} = 3,000 - 1,800 = 1,200 \]

  3. Calculate the amount allocated for meals: The family plans to spend \(\frac{1}{2}\) of the remainder on meals: \[ \text{Amount for meals} = \frac{1}{2} \times 1,200 \] \[ = 600 \]

Thus, Molly's family plans to spend $600 on meals.

The correct answer is A. $600.