Victoria had a sum of money. She spent $460 on a jumpsuit and 27 of the remainder on a blazer. She was left with 16 of the original sum of money.
- What was the total amount Victoria spent?
- How much money did Victoria have at first?
| Jumpsuit |
Remaining amount |
| |
Blazer |
Left |
| $460 |
2 |
5 |
5x5 =
25 u |
1x5 =
5 u |
| 23 u |
2 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
27=
57The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
57 Remaining amount =
16 Total amount
5x17x1 Remaining amount =
1x56x5 Total amount
57 Remaining amount =
530 Total amount
Amount that Victoria spent on the jumpsuit
= 25 u - 2 u
= 23 u
23 u = 460
1 u = 460 ÷ 23 = 20
Total amount that Victoria spent
= 23 u + 2 u
= 25 u
= 25 x 20
= $500
(b)
Total amount that Victoria had at first
= 30 u
= 30 x 20
= $600
Answer(s): (a) $500; (b) $600
