Olivia had a sum of money. She spent $40 on a jacket and 25 of the remainder on a coat. She was left with 15 of the original sum of money.
- What was the total amount Olivia spent?
- How much money did Olivia have at first?
| Jacket |
Remaining amount |
| |
Coat |
Left |
| $40 |
2 |
3 |
4x3 =
12 u |
1x3 =
3 u |
| 10 u |
2 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
25=
35The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
35 Remaining amount =
15 Total amount
3x15x1 Remaining amount =
1x35x3 Total amount
35 Remaining amount =
315 Total amount
Amount that Olivia spent on the jacket
= 12 u - 2 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
Total amount that Olivia spent
= 10 u + 2 u
= 12 u
= 12 x 4
= $48
(b)
Total amount that Olivia had at first
= 15 u
= 15 x 4
= $60
Answer(s): (a) $48; (b) $60
