A certain recipe requires 3/2 cups of sugar and makes 2 dozen cookies. (1 dozen = 12)
Quantity A
The amount of sugar required for the same recipe to make 30 cookies
Quantity B
2 cups
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
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3/2 cups of sugar = 2 dozens of cookies
if 1 dozen = 12, 2 dozens of cookies = 24
Thus, 3/2 cups = 24 cookies ----------- eqn(1)
For quantity A,
x cups = 30 cookies --------- eqn(2)
divide eqn(1) by eqn(2)
(3/2)/x = 24/30
1.5/x = 24/30
corss multiply
24x = 1.5 * 30
24x = 45
divide both sides by 24.
x = 45/24
x = 1.875
Therefore, 1.875 cups of sugar will make 30 cookies
Thus, quantity B (2 cups) is greater
Ans B
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