Jeremy owned two shops selling jewellery. Shop N earned 25% more money than Shop P on Thursday. On Friday, Shop N lost $115 while Shop P earned another $397. In the end, Shop N contributed to 512 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)x7 = (3) |
N
(1) |
P
(2) |
Make p the same
(2)x5 = (4) |
| Before |
35 u |
5 u |
4 u |
20 u |
| Change |
- 805 |
- 115 |
+ 397 |
+ 1985 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Jeremy earned from Shop P on Thursday in percentage = 100%
Amount that Jeremy earned from Shop N on Thursday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Jeremy earned from Shop P
= 1 -
512 =
712(3) = (4)
35 u - 805 = 20 u + 1985
35 u - 20 u = 805 + 1985
15 u = 2790
1 u = 2790 ÷ 15 = 186
Amount that Jeremy earned from Shop N over the two days
= 5 u - 115
= 5 x 186 - 115
= 930 - 115
= $815
Answer(s): $815
