Paul owned two shops selling computers. Shop N earned 30% more money than Shop P on Wednesday. On Thursday, Shop N lost $489 while Shop P earned another $462. In the end, Shop N contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop N earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop N
(1) |
Shop P
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1956 |
- 489 |
+ 462 |
+ 2310 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Paul earned from Shop P on Wednesday in percentage = 100%
Amount that Paul earned from Shop N on Wednesday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Paul earned from Shop P
= 1 -
59 =
49(3) = (4)
52 u - 1956 = 50 u + 2310
52 u - 50 u = 1956 + 2310
2 u = 4266
1 u = 4266 ÷ 2 = 2133
Amount that Paul earned from Shop N over the two days
= 13 u - 489
= 13 x 2133 - 489
= 27729 - 489
= $27240
Answer(s): $27240
