Question

Employees at a company are given £1,300 to spend on items for the office. They decide to buy a coffee machine and as many bean bags as possible. Bean bags cost £50 with an offer of "Buy at least 15 get 20% off the price." The coffee machine costs £370. How much will they have left over from the £1,300?

Answer 1

£10

Explanation:

There may be a far easier way to do this, but this is how I did it and still came up with the correct solution.

-Assuming they buy at least 15 bags, they will get a 20% discount.

-20% discount would mean they only pay 80% of the original price. 80%=.80

-let x represent number of bean bags

£50 per bean bag multiplied by sale price .80, plus cost of coffee machine £370 must be equal to or less than £1300.

(50x)(.80) + 370 = 1300

Simplify:

40x + 370 =1300

Subtract 370 from both sides

40x = 930

Divide both sides by 40

X=93/4

Simplify fraction

23 1/4

=23.25

But since they cant buy .25 (quarter) of a bean bag, we reduce* to nearest whole number. We can not increase* to nearest whole number as this would exceed their budget.

23 bean bags. They can buy 23 bean bags at £40 each + coffee machine for £370.

£40(23) + £370 = £1290

£1300-£1290=£10

I hope this helps!