Question

25% of Alvin's saving is $280 more than 30% of Brayen savings. If Alvin spent 4/5 of his savings and Brayen spent 1/2 of his savings. What will be the alvin's savings at first?

Answer 1

Answer:

(a)

9 – 1 = 8

264/8 = 33 (Alvin’s savings in the end)

33 x 9 = 297 (Bernard’s savings in the end)

Alvin’s savings : Bernard’s savings

3u : 11u

Assuming both spent 1p each,

3u – 1p ——- 33

11u – 1p ——- 297

11u – 3u = 8u ——- 297 – 33 = 264

1u ——- 264/8 = 33

After Alvin gave 1/10 of his saving to Bernard.

Alvin : 3u ——- 3 x 33 = 99

Bernard : 11u ——- 11 x 33 = 363

1 – (1/10) = 9/10 ——– 99

1/10 ——- 99/9 = 11

10/10 = 10 x 11 = 110 (Alvin’s savings at first) (b)

363 – 11 = 352 (Bernard’s savings at first)

The ratio of Alvin’s savings to Bernard’s savings at first is 110 : 352 = 5 : 16.

Ans : (a) 5 : 16; (b) $110.