Andrea is going to the golf course.The golf course charges a flat rate of $5.00 plus $1.50 per bucket of 50 golf balls. When she arrives,she is offered a discount rate of $.50 for a bucket of 50 golf balls plus the same flat rate. Andrea has $8.25 to speed. How many more bucket of golf balls will Andrea be able to get with the discount?

A. 2 buckets
B. 4 buckets
C. 6 buckets
D. 8 buckets

Respuesta :

c. 6 buckets

flat rate = $5
golf balls = $.50

.5×6 = the three remaining dollars

B. 4 buckets more if she opts to avail the discount.

Given:
Flat rate = 5
Variable rate = 1.50

Option 1: Without discount
5 + 1.50x = 8.25
1.50x = 8.25 - 5
1.50x = 3.25
x = 3.25/1.5
x = 2.17 ⇒ 2 buckets

Option 2: with discount. $0.50 per bucket
5 + 0.50x = 8.25
0.50x = 8.25 - 5
0.50x = 3.25
x = 3.25/0.50
x = 6.50 buckets ⇒ 6 buckets.

Option 1:   2 buckets
Option 2:   6 buckets
Difference: 4 more buckets if she chose option 2. WITH DISCOUNT