SOLUTION: Mr White purchased some bottles of mineral water for his son. After a week, he used 4/7 of the bottles leaving 6 bottles. (i) Find the fraction of the bottles of mineral water t

Algebra.Com
Question 1195902: Mr White purchased some bottles of mineral water for his son. After a week, he
used 4/7 of the bottles leaving 6 bottles.
(i) Find the fraction of the bottles of mineral water that remain after a week.
(ii) How many bottles of mineral water did he purchased that week?

Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

He uses 4/7 of the bottles, so he must have 3/7 of them left.
x = number of bottles purchased

3/7 of x = (3/7)x = 6 bottles left

Solve for x.
(3/7)x = 6
3x = 6*7
3x = 42
x = 42/3
x = 14

If he bought 14 bottles and has 6 left over, then he must have used 8 of them (14-6 = 8).
Note how 8/14 = (2*4)/(2*7) = 4/7 represents the fraction of the bottles used up to confirm we have the correct x value.


Answers:
(i) 3/7
(ii) 14

RELATED QUESTIONS

I need help on the following problem. Mr. Ken's class is collecting water bottles.... (answered by richwmiller)
I am trying to help my step son out with his algebra problems. I normally do well in... (answered by Alan3354)
a truck is carrying water bottles. one fourth of the total number of bottles in the truck (answered by rfer)
a customer buys three bottles of water (answered by richwmiller)
I have 6 bottles in a case how many of these bottles make up... (answered by Alan3354)
A shop sells 5l bottles of water.On Wednesday the shop received $3450 from selling 5l... (answered by Theo)
Peter found 5 empty plastic bottles outside their house on Sunday. Each day after that,... (answered by josgarithmetic)
IF A COLLECTION OF A BOTTLE CONTAINS 87 BOTTLES WILL ANY BOTTLES BE LEFT AFTER ALL ARE... (answered by tommyt3rd)
QUESTION: A town committee has a budget of $75 to spend on snacks for volunteers... (answered by richwmiller)