Question

Ali uses 2(1/2) cups of drink mix to make 10 drinks. How much drink mix does she need to make 1 cup of the drink?

A) 1/5 cup
B) 1/4 cup
C) 1/2 cup
D) 1 cup

Answer 1

B) 1/4 cup. Ali needs 1/4 cup of drink mix to make 1 cup of the drink.

Step-by-step explanation:

To find out how much drink mix Ali needs to make 1 cup of the drink, we can set up a proportion.

Ali uses 2(1/2) cups of drink mix to make 10 drinks. So the amount of drink mix needed for 10 drinks is 2(1/2) cups. Now, we can set up the proportion:

2(1/2) cups / 10 drinks = x cups / 1 drink

To solve for x, we cross-multiply:

2(1/2) * 1 = 10 * x

5/2 = 10x

Dividing both sides by 10 gives us:

x = (5/2) / 10 = 5/20 = 1/4

Therefore, Ali needs 1/4 cup of drink mix to make 1 cup of the drink.