Each winter, Captain Dan's Ski Lodge rents both pairs of skis and snowboards to its guests for a flat daily rate per pair of skis and a flat daily rate per snowboard. Five pairs of skis and two snowboards will cost a family $370. Three pairs of skis and four snowboards will cost a family $390. During a particularly slow season, Captain Dan announces a 10% discount on all skis and snowboards. What would be the cost of renting two pairs of skis and two snowboards if they were rented during this discount period?
A. $99
B. $110
C. $198
D. $220
Answer:C
Each winter, Captain Dan's Ski Lodge rents both pairs of skis and snowboards to its guests for a flat daily rate per pair of skis and a flat daily rate per snowboard. Five pairs of skis and two snowboards will cost a family $370. Three pairs of skis and four snowboards will cost a family $390. During a particularly slow season, Captain Dan announces a 10% discount on all skis and snowboards. What would be the cost of renting two pairs of skis and two snowboards if they were rented during this discount period?
A. $99 B. $110 C. $198 D. $220
Explanation: CIn order to determine the normal cost for renting skis and snowboards, you need to write two equations and then manipulate and solve those equations. If you call skis x and snowboards y, your two equations will be 5x + 2y = 370 and 3x + 4y = 390. Look for a way to stack and add the equations to eliminate one of the variables. For instance, multiply the first equation by 2 to get 10x + 4y = 740, and then stack and subtract the equations, as follows: