A baker is using a cookie recipe that call for 2 ¼ cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?
6 ¾ cups
5 5/8 cups
10 1/8 cups
4 ¾ cups
Correct Answer : B
We are asked to find the number of cups of flour that will be used to make 90 cookies.
Letting x be the number of cups of flour and setting the proportion equation with number of cookies on numerator and number of cups of flour on the denominator. We have

Solve the value of x by cross-multiplying

We convert the mixed fraction into improper fraction in order to carry out multiplication

\(x =\ \frac{9}{4}\ cups\ *\ 90\ cookies\ *\ \frac{1}{36}\ cookies\)
The number of cups of flour needed to make 90 cookies is 5.625 cups, which is equal to 5 5/8 cups(Choice B).
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Related Questions
Correct Answer is A
Explanation
To find the greatest number from the given options, we first convert the decimal numbers into fractions.
4.25 becomes 425/100
4.4 becomes 44/10
Then, we find the LCM for the denominators of the given fractions. The LCM of 2, 100, 3 and 10 is 300. Now we can multiply each fraction with the LCM.
9/2*300=1350
425/100*300=1275
10/3*300=1000
44/10*300=1320
Comparing the obtained values from above, 1350 is the greatest followed by 1320, 12750, and 1000 in that order. The fraction 9/2 gave a value of 1350, which was the greatest value. Thus, 9/2 is the greatest value from the given option.
You can also convert to decimals and compare which would give you the same answer.
Correct Answer is A
Explanation
We are being asked to find the amount of milk needed. This is a proportion problem, which compares the amount of flour to that of milk. Letting x represent the amount of milk required, we set up the proportion with flour on the numerator and amount of milk in denominator as follows:

Change the mixed fraction of 1 1/5 into improper fraction as follows

The proportion equation becomes

Cross-multiply to solve for x




As an mixed fraction, 36/5 becomes 7 1/5. Therefore, 7 1/5 cups of milk are needed to make a big batch of 2 cups.
Correct Answer is A
Explanation
Step 1: Determine the remaining balance
The total cost of the television is $1,570, and the consumer made a $400 down payment.
Remainingbalance=1,570−400=1,170
Step 2: Calculate the number of months
The consumer pays $100 per month, so:
Months=1,170/100=11.7
Since the consumer cannot make a fraction of a payment, they will need 12 months to fully pay off the television.
Correct Answer is D
Explanation
A change in number of credit hours result in a change in the amount of access fees, amount of tuition, and availability of student loans. Thus, number of credit hours is the independent variable.
Correct Answer is C
Explanation
Let x be the employee's salary before the raise. The employee received a 20% raise, so the new salary is:
x+0.2x=60,000
Step 1: Factor out x
1.2x=60,000
Step 2: Solve for x
x=60,000/1.2=50,000
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 A
Explanation
What fraction of the pizza the other three friends get is what is asked to find.
First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:
First friend eats =1/2 of 1=1/2
Remaining fraction of the pizza=1-1/2=1/2
Now, the three friends share ½ amongst themselves equally. Then, each friend gets

The three friends each gets 1/6 of the pizza.
Correct Answer is D
Explanation
We convert the given value in yard to the cm using the following set up.

The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.
Correct Answer is C
Explanation
We are asked to make x the subject of the formula.
First, we add z to both sides of the equation


Multiply both sides by y


The above equation can be rearranged into

Thus, the formula for finding the value of x is y(z+rw).
Correct Answer is B
Explanation
We use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator, 
Multiplying the square root above with 10 becomes

The approximate value is 44.7.
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