Gwen had a sum of money. She spent $28 on a vest and 710 of the remainder on a blazer. She was left with 14 of the original sum of money.
- What was the total amount Gwen spent?
- How much money did Gwen have at first?
| Vest |
Remaining amount |
| |
Blazer |
Left |
| $28 |
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 Gwen spent on the vest
= 9 u - 7 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Total amount that Gwen spent
= 2 u + 7 u
= 9 u
= 9 x 14
= $126
(b)
Total amount that Gwen had at first
= 12 u
= 12 x 14
= $168
Answer(s): (a) $126; (b) $168
