Henry owned two shops selling apparel. Shop A earned 30% more money than Shop B on Wednesday. On Thursday, Shop A lost $270 while Shop B earned another $322. 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 |
- 1080 |
- 270 |
+ 322 |
+ 966 |
| After |
12 p |
3 p |
4 p |
12 p |
Amount that Henry earned from Shop B on Wednesday in percentage = 100%
Amount that Henry earned from Shop A on Wednesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Henry earned from Shop B
= 1 -
37 =
47(3) = (4)
52 u - 1080 = 30 u + 966
52 u - 30 u = 1080 + 966
22 u = 2046
1 u = 2046 ÷ 22 = 93
Amount that Henry earned from Shop A over the two days
= 13 u - 270
= 13 x 93 - 270
= 1209 - 270
= $939
Answer(s): $939
