Question

The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?
neither Grace nor Roger
only Grace
only Roger
both Grace and Roger

Answer 1

Compare total costs.

Roger (6 shows):
- No membership: 6 × \$38 = \$228
- With membership: \$80 + 6 × \$20 = \$200
Membership saves \$28, so Roger should buy it.

Grace (4 shows):
- No membership: 4 × \$38 = \$152
- With membership: \$80 + 4 × \$20 = \$160
Membership costs \$8 more, so Grace should not buy it.

Answer: only Roger.