Gillian had a sum of money. She spent $24 on a jumpsuit and 47 of the remainder on a coat. She was left with 15 of the original sum of money.
- What was the total amount Gillian spent?
- How much money did Gillian have at first?
Jumpsuit |
Remaining amount |
|
Coat |
Left |
$24 |
4 |
3 |
4x3 = 12 u |
1x3 = 3 u |
8 u |
4 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
47=
37The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
37 Remaining amount =
15 Total amount
3x17x1 Remaining amount =
1x35x3 Total amount
37 Remaining amount =
315 Total amount
Amount that Gillian spent on the jumpsuit
= 12 u - 4 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
Total amount that Gillian spent
= 8 u + 4 u
= 12 u
= 12 x 3
= $36
(b)
Total amount that Gillian had at first
= 15 u
= 15 x 3
= $45
Answer(s): (a) $36; (b) $45