Brandon owned two shops selling mobile phones. Shop A earned 30% more money than Shop B on Tuesday. On Wednesday, Shop A lost $123 while Shop B earned another $342. In the end, Shop A contributed to 37 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop A
(1) |
Shop B
(2) |
Make p the same
(2)x3 = (4) |
| Before |
52 u |
13 u |
10 u |
30 u |
| Change |
- 492 |
- 123 |
+ 342 |
+ 1026 |
| After |
12 p |
3 p |
4 p |
12 p |
Amount that Brandon earned from Shop B on Tuesday in percentage = 100%
Amount that Brandon earned from Shop A on Tuesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Brandon earned from Shop B
= 1 -
37 =
47(3) = (4)
52 u - 492 = 30 u + 1026
52 u - 30 u = 492 + 1026
22 u = 1518
1 u = 1518 ÷ 22 = 69
Amount that Brandon earned from Shop A over the two days
= 13 u - 123
= 13 x 69 - 123
= 897 - 123
= $774
Answer(s): $774
