Risa had a sum of money. She spent $77 on a shirt and 710 of the remainder on a jacket. She was left with 17 of the original sum of money.
- What was the total amount Risa spent?
- How much money did Risa have at first?
| Shirt |
Remaining amount |
| |
Jacket |
Left |
| $77 |
7 |
3 |
6x3 =
18 u |
1x3 =
3 u |
| 11 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 =
17 Total amount
3x110x1 Remaining amount =
1x37x3 Total amount
310 Remaining amount =
321 Total amount
Amount that Risa spent on the shirt
= 18 u - 7 u
= 11 u
11 u = 77
1 u = 77 ÷ 11 = 7
Total amount that Risa spent
= 11 u + 7 u
= 18 u
= 18 x 7
= $126
(b)
Total amount that Risa had at first
= 21 u
= 21 x 7
= $147
Answer(s): (a) $126; (b) $147
