Zoe had a sum of money. She spent $72 on a coat and 27 of the remainder on a sweater. She was left with 13 of the original sum of money.
- What was the total amount Zoe spent?
- How much money did Zoe have at first?
| Coat |
Remaining amount |
| |
Sweater |
Left |
| $72 |
2 |
5 |
2x5 =
10 u |
1x5 =
5 u |
| 8 u |
2 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
27=
57The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
57 Remaining amount =
13 Total amount
5x17x1 Remaining amount =
1x53x5 Total amount
57 Remaining amount =
515 Total amount
Amount that Zoe spent on the coat
= 10 u - 2 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Total amount that Zoe spent
= 8 u + 2 u
= 10 u
= 10 x 9
= $90
(b)
Total amount that Zoe had at first
= 15 u
= 15 x 9
= $135
Answer(s): (a) $90; (b) $135
