A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 40 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
A. 6 7/18 cups
B. 5 5/18 cups
C. 2 3/16 cups
D. 5 1/16 cups
We are asked to find the number of cups of flour that will be used to make 90 cookies.
First, we convert 2 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
Dividing both sides by 60, the above equation result to
Thus, the number of cups of flour needed to make 90 cookies is 81/16 cups, which is equal to 5 1/16 cups.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A recipe calls for 2/9 cup of flour for every 1 2/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 12 1/5 cups
B. 12 3/5 cups
C. 8 1/25 cups
D. 10 3/25 cups
Answer Explanation
The number of cups of milk to make a bigger batch, we proceed as follows:
First convert the mixed number 1 2/5 as
Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator
Find the value of x by cross-products
2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.
Per means division. The above equation becomes
When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus
The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
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Q #2: Which of the following is the best approximation of 3 times the positive square root of 19?
A. 57
B. 13.1
C. 21.7
D. 6.9
Answer Explanation
We use the calculator to find the positive square root of 19, which is then multiplied by 3.
Using the calculator,
Multiplying the square root above with 3 becomes
The approximate value of 3 times the square root of 19 is 13.1.
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Q #3: A person weighed themselves at 153 lb. Five months later they weighed themselves at 120 lb. Which of the following is the percent of weight the person lost over 5 months? (Round to the nearest percent.)
A. 38%
B. 22%
C. 19%
D. 29%
Answer Explanation
The percentage change in weight is found in three steps below:
Absolute change in weight=final weight-initial weight
Absolute change in weight= (left|120-153 ight|=left|-33 ight|=33)
Relative change in weight= (frac{absolute change}{initial weight}=frac{33}{153}=0.216)
Percent change=relative change * 100%
Percent change=0.216*100%=21.6%
The percent change in weight lost is 21.6 %, which is about 22%.
