Question

Question #f7244

Answer 1

A: `8.383333` or nine weeks
B: `11.592667` or 12 weeks

Explanation:

In order to do both, we should at least make an equation.

10x+5x+30=155.75.

(x is the amount of weeks, 30 is the money that we start with, and 155.75 is the amount of money that we are trying to reach.)

Let's combine like terms...

15x+30=155.75

Then isolate x by subtracting 30 on both sides...

15x=125.75

Divide both sides by 15....

`503/60` or 8.383333 or even 9 weeks (since at 8 weeks, you won't have all the money, but you will at 9 weeks).

For B, let's do the same thing

`15x+30=203.89`

Isolate x by subtracting 30 on both sides....

`15x=173.89`

`x=17389/1500` or 11.59266 or 12 weeks.

Answer 2

A) 8.38 weeks

B) 3.21 weeks more

Explanation:

Money in hand = 30
Weekly saving = 5
Additional savings given by aunt every week = 10
Total savings per week = 15
A) No. of week required to meet the bicycle’s cost say x.
The equation is
`(x*15) + 30 = 155.75`
`15x = 155.75 - 30 = 125.75`
`x = 125.75 / 15 = 8.38`weeks. (a)

B) if the cost of the bicycle is 203.89,
No. of weeks required to buy will be
`(x*15) + 30 = 203.89`
`15x = 203.89 - 30 = 173.89`
`x = 173.89/15 = 11.59` weeks. (b)
Difference between (b) & (a) gives the no. of weeks more required to buy this bicycle.
`= 11.59 - 8.38 = 3.21` weeks more.