EXAMPLE 4 Solve a multi-step problem A business rents in-line skates and bicycles. During one day, the business has a total of 25 rentals and collects.

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Presentation transcript:

EXAMPLE 4 Solve a multi-step problem A business rents in-line skates and bicycles. During one day, the business has a total of 25 rentals and collects $450 for the rentals. Find the number of pairs of skates rented and the number of bicycles rented. RENTAL BUSINESS

SOLUTION EXAMPLE 4 Solve a multi-step problem STEP 1 Write a linear system. Let x be the number of pairs of skates rented, and let y be the number of bicycles rented. x + y = 25 15x + 30y = 450 Equation for number of rentals Equation for money collected from rentals STEP 2 Graph both equations.

EXAMPLE 4 Solve a multi-step problem STEP 3 Estimate the point of intersection. The two lines appear to intersect at (20, 5). STEP 4 Check whether (20, 5) is a solution = ? 15( 20 ) + 30(5) 450 = ? 450 = = 25 ANSWER The business rented 20 pairs of skates and 5 bicycles.

EXAMPLE 4 Solve a multi-step problem GUIDED PRACTICE for Example 4 In Example 4, suppose the business has a total of 20 rentals and collects $420. Find the number of bicycles rented. 6. ANSWER 8 bicycles