Gillian had a sum of money. She spent $56 on a vest and 710 of the remainder on a coat. She was left with 16 of the original sum of money.
- What was the total amount Gillian spent?
- How much money did Gillian have at first?
| Vest |
Remaining amount |
| |
Coat |
Left |
| $56 |
7 |
3 |
5x3 =
15 u |
1x3 =
3 u |
| 8 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
16 Total amount
3x110x1 Remaining amount =
1x36x3 Total amount
310 Remaining amount =
318 Total amount
Amount that Gillian spent on the vest
= 15 u - 7 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Total amount that Gillian spent
= 8 u + 7 u
= 15 u
= 15 x 7
= $105
(b)
Total amount that Gillian had at first
= 18 u
= 18 x 7
= $126
Answer(s): (a) $105; (b) $126
