Shannon had a sum of money. She spent $80 on a shirt and 25 of the remainder on a blouse. She was left with 13 of the original sum of money.
- What was the total amount Shannon spent?
- How much money did Shannon have at first?
Shirt |
Remaining amount |
|
Blouse |
Left |
$80 |
2 |
3 |
2x3 = 6 u |
1x3 = 3 u |
4 u |
2 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
25=
35The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
35 Remaining amount =
13 Total amount
3x15x1 Remaining amount =
1x33x3 Total amount
35 Remaining amount =
39 Total amount
Amount that Shannon spent on the shirt
= 6 u - 2 u
= 4 u
4 u = 80
1 u = 80 ÷ 4 = 20
Total amount that Shannon spent
= 4 u + 2 u
= 6 u
= 6 x 20
= $120
(b)
Total amount that Shannon had at first
= 9 u
= 9 x 20
= $180
Answer(s): (a) $120; (b) $180