Archie owned two shops selling lighting. Shop A earned 25% more money than Shop B on Monday. On Tuesday, Shop A lost $185 while Shop B earned another $359. In the end, Shop A contributed to 512 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)x7 = (3) |
A
(1) |
B
(2) |
Make p the same
(2)x5 = (4) |
| Before |
35 u |
5 u |
4 u |
20 u |
| Change |
- 1295 |
- 185 |
+ 359 |
+ 1795 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Archie earned from Shop B on Monday in percentage = 100%
Amount that Archie earned from Shop A on Monday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Archie earned from Shop B
= 1 -
512 =
712(3) = (4)
35 u - 1295 = 20 u + 1795
35 u - 20 u = 1295 + 1795
15 u = 3090
1 u = 3090 ÷ 15 = 206
Amount that Archie earned from Shop A over the two days
= 5 u - 185
= 5 x 206 - 185
= 1030 - 185
= $845
Answer(s): $845
