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

The ratio of savings of Sid and Tim will be 17:9 in 6 weeks.

Given information:

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.

Let, after x weeks, the ratio of savings of Sid and Tim will be 17:9.

After x weeks, the total saving of Sid will be,

After x weeks, the total saving of Tim will be,

So, the value of x weeks can be calculated as,

Therefore, the ratio of savings of Sid and Tim will be 17:9 in 6 weeks.

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The savings of Sid and Tim will be in 17:9 in 6 weeks.

Step-by-step explanation:

Initial savings of Sid = £ 13

Initial savings of Tim = £ 0

For each successive week Sid saved = £ 3.5

For each successive week Tim saved = £ 3

Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.

If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)

If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x

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

So,

Sid's saving : Tim's saving = 17 : 9

Using the values of expressions, we get:

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.

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