the local theater sells tickets to its plays at a rate of $38 each. patrons who attend multiple shows are…

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?\nneither grace nor roger\nonly grace\nonly roger\nboth grace and roger

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?\nneither grace nor roger\nonly grace\nonly roger\nboth grace and roger

Answer

Answer:

C. only Roger

Explanation:

Step1: Calculate Grace's cost without membership

Cost = $38\times4 = 152$

Step2: Calculate Grace's cost with membership

Cost = $80 + 20\times4=80 + 80 = 160$ Since $152<160$, Grace won't benefit.

Step3: Calculate Roger's cost without membership

Cost = $38\times6 = 228$

Step4: Calculate Roger's cost with membership

Cost = $80+20\times6 = 80 + 120=200$ Since $200<228$, Roger will benefit.