Joelle had a sum of money. She spent $56 on a sweater and 58 of the remainder on a coat. She was left with 14 of the original sum of money.
- What was the total amount Joelle spent?
- How much money did Joelle have at first?
| Sweater |
Remaining amount |
| |
Coat |
Left |
| $56 |
5 |
3 |
3x3 =
9 u |
1x3 =
3 u |
| 4 u |
5 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
58=
38The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
38 Remaining amount =
14 Total amount
3x18x1 Remaining amount =
1x34x3 Total amount
38 Remaining amount =
312 Total amount
Amount that Joelle spent on the sweater
= 9 u - 5 u
= 4 u
4 u = 56
1 u = 56 ÷ 4 = 14
Total amount that Joelle spent
= 4 u + 5 u
= 9 u
= 9 x 14
= $126
(b)
Total amount that Joelle had at first
= 12 u
= 12 x 14
= $168
Answer(s): (a) $126; (b) $168
