Shannon had a sum of money. She spent $240 on a jacket and 38 of the remainder on a coat. She was left with 14 of the original sum of money.
- What was the total amount Shannon spent?
- How much money did Shannon have at first?
Jacket |
Remaining amount |
|
Coat |
Left |
$240 |
3 |
5 |
3x5 = 15 u |
1x5 = 5 u |
12 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 =
14 Total amount
5x18x1 Remaining amount =
1x54x5 Total amount
58 Remaining amount =
520 Total amount
Amount that Shannon spent on the jacket
= 15 u - 3 u
= 12 u
12 u = 240
1 u = 240 ÷ 12 = 20
Total amount that Shannon spent
= 12 u + 3 u
= 15 u
= 15 x 20
= $300
(b)
Total amount that Shannon had at first
= 20 u
= 20 x 20
= $400
Answer(s): (a) $300; (b) $400