Question

Sid starts with savings of £13

Tim starts with no savings

Each week from now,
- Sid will save £3.50 and Tim will save £3

In how many weeks will Sid and Tim have savings in the ratio 17 : 9

Your final line must say, 17 : 9 in weeks

Answer 1

after 6 weeks

Explanation:

Sid and Tim starts saving each week.

Sid starts his savings with initial amount of £13.00

Tim starts his saving with initial amount of £00.00

Each week from now Sid will save = £3.50

Tim will save each week = £3.00

Let's assume after 'x' weeks the amount of Sid would be = £ (13 + 3.50x)

and the amount of Tim's saving after x weeks = £ (3x)

The ratio of their savings in x weeks would be = 17 : 9

Now the expression we get,

(13 + 3.50x) : (3x) = 17 : 9

`(13+3.50x)/(3x)=(17)/(9)`

9(13 + 3.50x) = 17(3x)

117 + 31.5x = 51x

117 = 51x - 31.5x

117 = 19.5x

`x=(117)/(19.5)`

x = 6

After 6 weeks the savings of Tim and Sid would be in the ratio of 17 : 9.