Gwen had a sum of money. She spent $352 on a jacket and 38 of the remainder on a coat. She was left with 18 of the original sum of money.
- What was the total amount Gwen spent?
- How much money did Gwen have at first?
| Jacket |
Remaining amount |
| |
Coat |
Left |
| $352 |
3 |
5 |
7x5 =
35 u |
1x5 =
5 u |
| 32 u |
3 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
38=
58The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
58 Remaining amount =
18 Total amount
5x18x1 Remaining amount =
1x58x5 Total amount
58 Remaining amount =
540 Total amount
Amount that Gwen spent on the jacket
= 35 u - 3 u
= 32 u
32 u = 352
1 u = 352 ÷ 32 = 11
Total amount that Gwen spent
= 32 u + 3 u
= 35 u
= 35 x 11
= $385
(b)
Total amount that Gwen had at first
= 40 u
= 40 x 11
= $440
Answer(s): (a) $385; (b) $440
