Question

Peach juice and mango juice were mixed in a ratio of 6 to 4 to make tropical punch.

Fill in the blank with the correct number below to complete the statement.

(statement)… After 12 cups of mango juice were added, the amount of mango juice and peach juice were the same. There were ____ cups of tropical punch to start with

Number choices to fill in the blank: 18, 69, 36, 72, 60, or 24

(Please someone help me, I'm so confused I've been stuck on this question for like 30 minutes!!!) also please do not answer nonsense for points.

Answer 1

the ratio of peach juice to mango juice is 3/2 :

because 6/4 can be reduced to 3/2 by canceling two from the fraction.

Explanation:

Answer 2

60

Explanation:

Given that the ration of Peach : Mango is 6:4 (or simplified to 3:2)

i.e

peach's volume makes 3 out of 5 units of punch

mango's volume makes up 2 out of 5 units of punch

we can see that in order to make mango the same volume as peach, we need to increase mango's volume by 1 unit (such that BOTH will have the same 3 units)

We are given that after adding 12 cups of mango, we will now have the same units of mango and peach. Hence we can say that 12 cups of mango can be represented by 1 unit increase we described in the previous paragraph.

Hence,

1 unit ----> 12 cups

total punch: 5 units----> 12 x 5 = 60 units