Joelle had a sum of money. She spent $150 on a vest and 58 of the remainder on a coat. She was left with 16 of the original sum of money.
- What was the total amount Joelle spent?
- How much money did Joelle have at first?
Vest |
Remaining amount |
|
Coat |
Left |
$150 |
5 |
3 |
5x3 = 15 u |
1x3 = 3 u |
10 u |
5 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
58=
38The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
38 Remaining amount =
16 Total amount
3x18x1 Remaining amount =
1x36x3 Total amount
38 Remaining amount =
318 Total amount
Amount that Joelle spent on the vest
= 15 u - 5 u
= 10 u
10 u = 150
1 u = 150 ÷ 10 = 15
Total amount that Joelle spent
= 10 u + 5 u
= 15 u
= 15 x 15
= $225
(b)
Total amount that Joelle had at first
= 18 u
= 18 x 15
= $270
Answer(s): (a) $225; (b) $270