A recipe calls for 5/7 cup of flour for every 2 3/5 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
12 1/5 cups
12 2/5 cups
8 9/25 cups
10 23/25 cups
Correct Answer : D
To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.
Let x be the number of cups of milk needed, then

The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.
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Correct Answer is D
Explanation
 Let the unknown length of the x. The resulting rectangle is shown below.

Then, we apply the Pythagoras theorem to find the value of x as:

The value of the unknown length is approximately 17.7 feet.
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.



Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
Correct Answer is C
Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
Correct Answer is C
Explanation
 we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.

Thus, 3.9 L is 3900 mL.
Correct Answer is C
Explanation
 we need to find the portion of pizza shared by two other friends.
We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is
Remaining fraction of the pizza=1-1/2=1/2
Now, the two friends share ½ amongst themselves equally. Then, each friend gets

The two friends each gets 1/4 of the pizza.
Correct Answer is C
Explanation
 We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.

We find the value of x by cross-multiplication

The value of x is 110 lb.
Correct Answer is C
Explanation
we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent

We solve the value of x by cross-multiplying the equation above.

Therefore, 336 students will enroll for a nursing program.
Correct Answer is D
Explanation
The circumference of a circle is given by the formula:
C=πd
where:
- d=16 inches
- π=3.14
Calculate the Circumference:
C=3.14×16 =50.24inches
Correct Answer is D
Explanation
To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.
Let x be the number of cups of milk needed, then

The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.
Correct Answer is A
Explanation
To estimate the total amount, round each price to the nearest dollar:
- Hat: $19.49 → $19 (since 0.49 rounds down)
- Shirt: $21.49 → $21 (since 0.49 rounds down)
- Shoes: $59.99 → $60 (since 0.99 rounds up)
Now, add the rounded values:
19+21+60=10019 + 21 + 60 = 10019+21+60=100
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