Kylie had a sum of money. She spent $40 on a skirt and 35 of the remainder on a coat. She was left with 15 of the original sum of money.
- What was the total amount Kylie spent?
- How much money did Kylie have at first?
Skirt |
Remaining amount |
|
Coat |
Left |
$40 |
3 |
2 |
4x2 = 8 u |
1x2 = 2 u |
5 u |
3 u |
2 u |
(a)
Fraction of the remaining amount left
= 1 -
35=
25The amount left is repeated.
Make the numerators the same. LCM of 2 and 1 is 2.
25 Remaining amount =
15 Total amount
2x15x1 Remaining amount =
1x25x2 Total amount
25 Remaining amount =
210 Total amount
Amount that Kylie spent on the skirt
= 8 u - 3 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Total amount that Kylie spent
= 5 u + 3 u
= 8 u
= 8 x 8
= $64
(b)
Total amount that Kylie had at first
= 10 u
= 10 x 8
= $80
Answer(s): (a) $64; (b) $80