Question #f7244

2 Answers
Oct 18, 2017

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.

Oct 18, 2017

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.