Hazel had a sum of money. She spent $459 on a jumpsuit and 38 of the remainder on a coat. She was left with 17 of the original sum of money.
- What was the total amount Hazel spent?
- How much money did Hazel have at first?
| Jumpsuit |
Remaining amount |
| |
Coat |
Left |
| $459 |
3 |
5 |
6x5 =
30 u |
1x5 =
5 u |
| 27 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 =
17 Total amount
5x18x1 Remaining amount =
1x57x5 Total amount
58 Remaining amount =
535 Total amount
Amount that Hazel spent on the jumpsuit
= 30 u - 3 u
= 27 u
27 u = 459
1 u = 459 ÷ 27 = 17
Total amount that Hazel spent
= 27 u + 3 u
= 30 u
= 30 x 17
= $510
(b)
Total amount that Hazel had at first
= 35 u
= 35 x 17
= $595
Answer(s): (a) $510; (b) $595
