Question

Cranwell Golf Course offers two different pricing packages for golf lessons. Under the “Sapphire” pricing plan,

lessons can be bought for a flat rate of $80 per hour. Under the “Diamond” pricing plan, for an initial fee of

$495, lessons can be bought for a rate of $15 per hour. If Jeanie buys the “Diamond” pricing plan, how many

golf lessons does she need to take in order to have spent exactly 40% less than she would have under the

“Sapphire” plan?

(A) 10

(B) 12

(C) 15

(D) 18

(E) 20​

Answer 1

Jeanie would have to play golf for exactly 15 hours

• If Jeanie plays for one hour, then the cost under Sapphire plan would be 80 *1 and under diamond plan would be 495 + 15*1.
• For two hours it would be 80*2 and 495 + 15*2.
• Lets suppose Jeanie plays for X hours, Then cost under Sapphire plan would be 80*X and under diamond plan would be 495 + 15*X.
• Jeanie buys diamond plan and wishes to spend 40% less than the sapphire plan i.e. 60% of the sapphire plan.
• 60 % of cost of sapphire plan for X hours is (60/100)*(80*X) = 48*X.
• Equating the two costs, 495 + 15*X = 48*X
• 495 = 33*X
• X = 15 hours.