Neave owned two shops selling toys. Shop X earned 40% more money than Shop Y on Thursday. On Friday, Shop X lost $477 while Shop Y earned another $391. In the end, Shop X contributed to 37 of the total earnings of the two shops over the two days operation. How much did Shop X earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop X
(1) |
Shop Y
(2) |
Make p the same
(2)x3 = (4) |
| Before |
28 u |
7 u |
5 u |
15 u |
| Change |
- 1908 |
- 477 |
+ 391 |
+ 1173 |
| After |
12 p |
3 p |
4 p |
12 p |
Amount that Neave earned from Shop Y on Thursday in percentage = 100%
Amount that Neave earned from Shop X on Thursday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Neave earned from Shop Y
= 1 -
37 =
47(3) = (4)
28 u - 1908 = 15 u + 1173
28 u - 15 u = 1908 + 1173
13 u = 3081
1 u = 3081 ÷ 13 = 237
Amount that Neave earned from Shop X over the two days
= 7 u - 477
= 7 x 237 - 477
= 1659 - 477
= $1182
Answer(s): $1182
