Glen owned two shops selling mobile phones. Shop M earned 40% more money than Shop N on Saturday. On Sunday, Shop M lost $316 while Shop N earned another $454. In the end, Shop M contributed to 37 of the total earnings of the two shops over the two days operation. How much did Shop M earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop M
(1) |
Shop N
(2) |
Make p the same
(2)x3 = (4) |
| Before |
28 u |
7 u |
5 u |
15 u |
| Change |
- 1264 |
- 316 |
+ 454 |
+ 1362 |
| After |
12 p |
3 p |
4 p |
12 p |
Amount that Glen earned from Shop N on Saturday in percentage = 100%
Amount that Glen earned from Shop M on Saturday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Glen earned from Shop N
= 1 -
37 =
47(3) = (4)
28 u - 1264 = 15 u + 1362
28 u - 15 u = 1264 + 1362
13 u = 2626
1 u = 2626 ÷ 13 = 202
Amount that Glen earned from Shop M over the two days
= 7 u - 316
= 7 x 202 - 316
= 1414 - 316
= $1098
Answer(s): $1098
