Jean had a sum of money. She spent $80 on a blazer and 710 of the remainder on a windbreaker. She was left with 15 of the original sum of money.
- What was the total amount Jean spent?
- How much money did Jean have at first?
Blazer |
Remaining amount |
|
Windbreaker |
Left |
$80 |
7 |
3 |
4x3 = 12 u |
1x3 = 3 u |
5 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
15 Total amount
3x110x1 Remaining amount =
1x35x3 Total amount
310 Remaining amount =
315 Total amount
Amount that Jean spent on the blazer
= 12 u - 7 u
= 5 u
5 u = 80
1 u = 80 ÷ 5 = 16
Total amount that Jean spent
= 5 u + 7 u
= 12 u
= 12 x 16
= $192
(b)
Total amount that Jean had at first
= 15 u
= 15 x 16
= $240
Answer(s): (a) $192; (b) $240