Question

A clothing supplier sells T-shirts to retailers for $7 each. If a store agrees to buy more than 30, the supplier is willing to reduce the unit price by 30 cents for each shirt bought above 30, with a maximum single order of 100 shirts. (a) How much does an order of 40 shirts cost? (b) If the total cost of an order is $504.25, how many T-shirts did the store buy altogether?

Answer 1

Answer:$277.00 and

Explanation:

40 shirts total

30 X $7.00 = $210.00 dollars

40 - 30 shirts (because no discount is given on first 30 shirts) = 10 shirts with discount

$7.00 - $.30 = $6.70 is the discounted shirt price

10 X $6.70 = 67.00

The original 30 shirts are $210.00 + discounted 10 shirts $67.00 = $277.00

Part B

Total cost is $504.25

You subtract the original 40 shirt amount of 277.00 from the total of $504.25 - $277.00 and you get $227.25.

You know the remaining balance of shirts are discounted to $6.70.

Divide $227.25/$6.70 = 33.92 - which we will round up to 34.

Your original order was 40 shirts + 34 shirts = 74 shirts.