Neave owned two shops selling electrical appliances. Shop R earned 30% more money than Shop S on Friday. On Saturday, Shop R lost $449 while Shop S earned another $204. In the end, Shop R contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop R earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop R
(1) |
Shop S
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1796 |
- 449 |
+ 204 |
+ 1020 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Neave earned from Shop S on Friday in percentage = 100%
Amount that Neave earned from Shop R on Friday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Neave earned from Shop S
= 1 -
59 =
49(3) = (4)
52 u - 1796 = 50 u + 1020
52 u - 50 u = 1796 + 1020
2 u = 2816
1 u = 2816 ÷ 2 = 1408
Amount that Neave earned from Shop R over the two days
= 13 u - 449
= 13 x 1408 - 449
= 18304 - 449
= $17855
Answer(s): $17855
