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
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 B
Explanation
We need to find the circumference of the circle from the given area.
To find the circumference, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, and the area of the circle is given by
Substituting the value of area in the above equation becomes
Dividing both sides by pi and taking square root on both sides yields
The radius of the circle is 7 in. and the circumference of the circle is given by the relation:
Correct Answer is D
Explanation
We are asked to find the Kwame’s uncle’s age in terms of Kwame’s age.
First, we need to find the age of Kwame, which is k. Then, we know that Kwame’s uncle’s age is three times that of Kwame less 17. Then,
Kwame’s uncle’s age, u = 3k-17.
Thus, the relation that relates Kwame’s uncle’s age to that of Kwame is u=3k-17.
Correct Answer is C
Explanation
We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.
Monday’s price was $50.33
Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68
Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61
Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36
Therefore, the price of the stock on Thursday was $52.36.
Correct Answer is B
Explanation
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.
Add 10 to both sides of the equation
Next, we apply the absolute rule:
, a>0, then u=a or u=-a
In this case a=12, which is greater 0. Then, the first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -1 or 2.
Correct Answer is A
Explanation
To find the greatest number from the given options, we first convert the decimal numbers into fractions.
-0.7 becomes 7/10
-1.3 becomes 13/10
Then, we find the LCM for the denominators of the given fractions. The LCM of 3 and 10 is 30. Now we can multiply each fraction with the LCM.
-2/3*30=-20
-7/10*30=-70
-13/10*30=-39
-4/3*30=-40
Comparing the obtained values from above, -20 is the greatest followed by -39, -40, -70 in that order. The fraction -2/3 gave a value of -20, which was the greatest value. Thus, -2/3 is the greatest value from the given option.
Correct Answer is D
Explanation
We let x represent the amount of vanilla in mL, since this is what the question is asking us to find.
Next, we will set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.
Cross-multiply to find the value of x
A recipe of 2.5 teaspoons equals 12.325 mL.
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 B
Explanation
By inspection, we find the corresponding values of the given denominations in the following manner.
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
Centimeteris the appropriate unit to measure the length of a dollar bill.
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