Eva had a sum of money. She spent $140 on a windbreaker and 710 of the remainder on a jumpsuit. She was left with 110 of the original sum of money.
- What was the total amount Eva spent?
- How much money did Eva have at first?
Windbreaker |
Remaining amount |
|
Jumpsuit |
Left |
$140 |
7 |
3 |
9x3 = 27 u |
1x3 = 3 u |
20 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 =
110 Total amount
3x110x1 Remaining amount =
1x310x3 Total amount
310 Remaining amount =
330 Total amount
Amount that Eva spent on the windbreaker
= 27 u - 7 u
= 20 u
20 u = 140
1 u = 140 ÷ 20 = 7
Total amount that Eva spent
= 20 u + 7 u
= 27 u
= 27 x 7
= $189
(b)
Total amount that Eva had at first
= 30 u
= 30 x 7
= $210
Answer(s): (a) $189; (b) $210