Zara had a sum of money. She spent $32 on a dress and 710 of the remainder on a vest. She was left with 14 of the original sum of money.
- What was the total amount Zara spent?
- How much money did Zara have at first?
| Dress |
Remaining amount |
| |
Vest |
Left |
| $32 |
7 |
3 |
3x3 =
9 u |
1x3 =
3 u |
| 2 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
14 Total amount
3x110x1 Remaining amount =
1x34x3 Total amount
310 Remaining amount =
312 Total amount
Amount that Zara spent on the dress
= 9 u - 7 u
= 2 u
2 u = 32
1 u = 32 ÷ 2 = 16
Total amount that Zara spent
= 2 u + 7 u
= 9 u
= 9 x 16
= $144
(b)
Total amount that Zara had at first
= 12 u
= 12 x 16
= $192
Answer(s): (a) $144; (b) $192
