Esther had a sum of money. She spent $68 on a jacket and 710 of the remainder on a windbreaker. She was left with 19 of the original sum of money.
- What was the total amount Esther spent?
- How much money did Esther have at first?
Jacket |
Remaining amount |
|
Windbreaker |
Left |
$68 |
7 |
3 |
8x3 = 24 u |
1x3 = 3 u |
17 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 =
19 Total amount
3x110x1 Remaining amount =
1x39x3 Total amount
310 Remaining amount =
327 Total amount
Amount that Esther spent on the jacket
= 24 u - 7 u
= 17 u
17 u = 68
1 u = 68 ÷ 17 = 4
Total amount that Esther spent
= 17 u + 7 u
= 24 u
= 24 x 4
= $96
(b)
Total amount that Esther had at first
= 27 u
= 27 x 4
= $108
Answer(s): (a) $96; (b) $108