while on skis vacation a group can rent pairs of skis and snowboards by the week. They get a reduced rate if they rent 7 pairs of skis for every 3 snowboards rented. the reduced ski rate is $45.50 per pair of skis per week, and the reduced snowboard rate is $110 per snowboard per week. the sales tax on each rental is 16% The group has 2500 available to spend on ski and snowboard rentals. what is the greatest number of pairs of skis and snowboards the group can rent if the ration of pairs of skis to snowboard is 7:3?

Question

Mathematics

Duncan Rivas

15 April, 19:00

while on skis vacation a group can rent pairs of skis and snowboards by the week. They get a reduced rate if they rent 7 pairs of skis for every 3 snowboards rented. the reduced ski rate is $45.50 per pair of skis per week, and the reduced snowboard rate is $110 per snowboard per week. the sales tax on each rental is 16% The group has 2500 available to spend on ski and snowboard rentals. what is the greatest number of pairs of skis and snowboards the group can rent if the ration of pairs of skis to snowboard is 7:3?

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Answers (1)

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Sheldon Sparks · Answer 1

Equation: 1.16x (45.5*7+110*3) = 2500

1.16x (648.5) = 2500

752.26x=2500

x=3.32 approx.

This value must be rounded to 3 because the people can only purchase the items in groups (7 skis and 3 snowboards).

3x7=21 skis

3x3=9 snowboards

answer: 21 skis and 9 snowboards