PSLEAnna and Linda went shopping together with a total amount of $115.80. Anna spent 2 times as much as Linda. The amount Linda had left was $22 more than what she had spent. She had 2 times as much money left as Anna.
(a) How much money did Linda spend?
(b) How much money did Anna have at first?
|
Anna |
Linda |
Total |
Before |
2.5 u + 11 |
2 u + 22 |
115.80 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 11 |
1 u + 22 |
|
(a)
Total amount that Anna and Linda had at first
= (2.5 u + 11) + (2 u + 22)
= 2.5 u + 2 u + 11 + 22
= 4.5 u + 33
4.5 u + 33 = 115.8
4.5 u = 115.8 - 33
4.5 u = 82.8
1 u = 82.8 ÷ 4.5 = 18.4
Amount that Linda had at first
= 1 u
= $18.40
(b)
Amount that Anna had at first
= 2.5 u + 11
= (2.5 x 18.4) + 11
= 46 + 11
= $57
Answer(s): (a) $18.40; (b) $57