Question

Gillian can spend up to $300 buying both cotton shirts and wool shirts for her club. The cotton shirts cost $15 each and the wool shirts cost $20 each. The number of wool shirts Gillian will buy will be at least 3, but less than half the number of cotton shirts she buys. Which combinations of cotton and wool shirts can Gillian buy?

A. 13 cotton shirts and 4 wool shirts

B. 10 cotton shirts and 4 wool shirts

C. 9 cotton shirts and 6 wool shirts

D. 15 cotton shirts and 5 wool shirts

Answer 1

Answer: Option 'A' is correct

Explanation:

Since we have given that

Total money Gillian spend on both cotton shirts and wool shirts = $300

Cost of per cotton shirt = $15

Cost of per wool shirt = $ 20

According to question,

The number of wool shirts Gillian will buy will be at least 3, but less than half the number of cotton shirts she buys.

So, by option when we use the data of Option 'A'

Number of cotton shirts =13

Cost incurred on cotton shirt is given by

`13* 15=195`

Number of wool shirts = 4

Cost incurred on wool shirt is given by

`4* 20=80`

Total cost incurred on both the shirts is given by

`195+80=\$275`

If we use option 'B' we spend only $230

If we use option 'C' , it does not satisfy the question as it is mentioned in the question that number of wool shirt must be less than half of number of cotton shirt

If we use option 'D' , we spend $325 which is much higher than $300

Hence , option "A" is correct.