Question

It takes 3 2/6 spoons of chocolate syrup to make 2 3/5 gallons of chocolate milk. How many spoons of syrup would it take

to make 4 gallons of chocolate milk?

Answer 1

1

Explanation:

— How many spoons of syrup would it take to make 4 gallons of chocolate milk? 1.

Answer 2

Answer: 4 gallons require
`5(5)/(39)` spoons of syrup

Explanation:

Given it takes
`3(2)/(6)` spoons to make
`2(3)/(5)` gallons of chocolate milk

i.e.
`(20)/(6)` spoons make up
`(13)/(5)` gallons of milk

⇒1 gallon require
`((20)/(6))/((13)/(5))` spoons of milk

⇒
`(20*5)/(6*13)` spoons of milk

⇒
`(100)/(78)` spoons of milk

Therefore 4 gallons require
`4*(100)/(78)` spoons

⇒
`(400)/(78)` spoons

⇒
`(200)/(39)` spoons

⇒
`5(5)/(39)` spoons