Question

jack and his sister jill are in a bookshop. jack has a voucher for 20% off the cost of any two books bought together. he has chosen up the hill, priced at $25, and broken crown, priced at $15. jill has a voucher that allows her to pay only $2 for the cheaper of any two books bought together. she wants to buy a pail of water, priced at $28, and tumbling after, priced at $12. both vouchers can be used only once. (a) if they each use their own voucher to pay for their own pair of books, what will be the total cost of the four books?

Answer 1

Using Jack's 20% discount voucher, the total cost for his books is $32. Jill's voucher allows her to pay only $2 for Tumbling After, making her total $30. Thus, the total cost for all four books is $62.

Step-by-step explanation:

If Jack and his sister Jill each use their vouchers to pay for their own pair of books, we can calculate the total cost of the four books as follows:

Jack's Purchase:

• Up the Hill: $25
• Broken Crown: $15

He has a voucher for 20% off the cost of any two books bought together. So the discount Jack gets on his purchase is:

20% of ($25 + $15) = 0.20 × $40 = $8

Total cost for Jack's books with the voucher: $40 - $8 = $32

Jill's Purchase:

• A Pail of Water: $28
• Tumbling After: $12

Jill has a voucher to pay only $2 for the cheaper book. So, she will pay $2 for Tumbling After instead of $12. Therefore, the total cost for Jill's books with the voucher is:

$28 (A Pail of Water) + $2 (Tumbling After) = $30

Total cost for all four books: $32 (Jack's books) + $30 (Jill's books) = $62