Joelle had a sum of money. She spent $14 on a skirt and 38 of the remainder on a dress. She was left with 13 of the original sum of money.
- What was the total amount Joelle spent?
- How much money did Joelle have at first?
Skirt |
Remaining amount |
|
Dress |
Left |
$14 |
3 |
5 |
2x5 = 10 u |
1x5 = 5 u |
7 u |
3 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
38=
58The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
58 Remaining amount =
13 Total amount
5x18x1 Remaining amount =
1x53x5 Total amount
58 Remaining amount =
515 Total amount
Amount that Joelle spent on the skirt
= 10 u - 3 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Total amount that Joelle spent
= 7 u + 3 u
= 10 u
= 10 x 2
= $20
(b)
Total amount that Joelle had at first
= 15 u
= 15 x 2
= $30
Answer(s): (a) $20; (b) $30