Gwen had a sum of money. She spent $396 on a jacket and 25 of the remainder on a vest. She was left with 19 of the original sum of money.
- What was the total amount Gwen spent?
- How much money did Gwen have at first?
| Jacket |
Remaining amount |
| |
Vest |
Left |
| $396 |
2 |
3 |
8x3 =
24 u |
1x3 =
3 u |
| 22 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 =
19 Total amount
3x15x1 Remaining amount =
1x39x3 Total amount
35 Remaining amount =
327 Total amount
Amount that Gwen spent on the jacket
= 24 u - 2 u
= 22 u
22 u = 396
1 u = 396 ÷ 22 = 18
Total amount that Gwen spent
= 22 u + 2 u
= 24 u
= 24 x 18
= $432
(b)
Total amount that Gwen had at first
= 27 u
= 27 x 18
= $486
Answer(s): (a) $432; (b) $486
