Rachel had
25 as much money as Olivia. Rachel had $48 less than Olivia. Rachel spent some money to buy a birthday present for her nephew. In the end, she had
14 as much money as Olivia. How much did Rachel spend on the birthday present?
| |
Rachel |
Olivia |
| Before |
2 u |
5 u |
| Change |
- ? |
|
| After |
1 p |
4 p |
Amount that Rachel had less than Olivia
= 5 u - 2 u
= 3 u
3 u = 48
1 u = 48 ÷ 3 = 16
Amount that Rachel had at first
= 2 u
= 2 x 16
= $32
Amount that Olivia had
= 5 u
= 5 x 16
= $80
The amount that Olivia had at first and in the end remains the same.
5 u = 4 p
4 p = 80
1 p = 80 ÷ 4 = 20
Amount that Rachel had in the end
= 1 p
= $20
Amount that Rachel spent on the birthday present
= 32 - 20
= $12
Answer(s): $12
