Sean owned two shops selling lighting. Shop A earned 25% more money than Shop B on Monday. On Tuesday, Shop A lost $107 while Shop B earned another $170. In the end, Shop A contributed to 49 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)x5 = (3) |
A
(1) |
B
(2) |
Make p the same
(2)x4 = (4) |
| Before |
25 u |
5 u |
4 u |
16 u |
| Change |
- 535 |
- 107 |
+ 170 |
+ 680 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Sean earned from Shop B on Monday in percentage = 100%
Amount that Sean earned from Shop A on Monday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Sean earned from Shop B
= 1 -
49 =
59(3) = (4)
25 u - 535 = 16 u + 680
25 u - 16 u = 535 + 680
9 u = 1215
1 u = 1215 ÷ 9 = 135
Amount that Sean earned from Shop A over the two days
= 5 u - 107
= 5 x 135 - 107
= 675 - 107
= $568
Answer(s): $568
