Daniel owned two shops selling mobile phones. Shop N earned 30% more money than Shop P on Monday. On Tuesday, Shop N lost $110 while Shop P earned another $458. 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 |
- 440 |
- 110 |
+ 458 |
+ 2290 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Daniel earned from Shop P on Monday in percentage = 100%
Amount that Daniel earned from Shop N on Monday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Daniel earned from Shop P
= 1 -
59 =
49(3) = (4)
52 u - 440 = 50 u + 2290
52 u - 50 u = 440 + 2290
2 u = 2730
1 u = 2730 ÷ 2 = 1365
Amount that Daniel earned from Shop N over the two days
= 13 u - 110
= 13 x 1365 - 110
= 17745 - 110
= $17635
Answer(s): $17635
