Question

Dennis and Ivy share some sweets between them in the ratio 7:4 Dennis got 42 sweets. How many does ivy get

Answer 1

`Ivy = 24`

Explanation:

Given

`Dennis : Ivy = 7 : 4`

Required

Determine the amount of sweet Ivy gets when Dennis = 42

We have:

`Dennis : Ivy = 7 : 4` and

`Dennis = 42`

Substitute 42 for Dennis in
`Dennis : Ivy = 7 : 4`

`42 : Ivy = 7 : 4`

Convert to fraction

`(42)/(Ivy) = (7)/(4)`

Cross Multiply:

`Ivy * 7 = 42 * 4`

Divide through by 7

`(Ivy * 7)/(7) = (42 * 4)/(7)`

`Ivy = (42 * 4)/(7)`

`Ivy = 6* 4`

`Ivy = 24`