Olivia had a sum of money. She spent $15 on a sweater and 58 of the remainder on a skirt. She was left with 13 of the original sum of money.
- What was the total amount Olivia spent?
- How much money did Olivia have at first?
| Sweater |
Remaining amount |
| |
Skirt |
Left |
| $15 |
5 |
3 |
2x3 =
6 u |
1x3 =
3 u |
| 1 u |
5 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
58=
38The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
38 Remaining amount =
13 Total amount
3x18x1 Remaining amount =
1x33x3 Total amount
38 Remaining amount =
39 Total amount
Amount that Olivia spent on the sweater
= 6 u - 5 u
= 1 u
1 u = 15
1 u = 15 ÷ 1 = 15
Total amount that Olivia spent
= 1 u + 5 u
= 6 u
= 6 x 15
= $90
(b)
Total amount that Olivia had at first
= 9 u
= 9 x 15
= $135
Answer(s): (a) $90; (b) $135
