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EXAMPLE 4

Solve a multi-step problem. EXAMPLE 4. RENTAL BUSINESS. 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.

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EXAMPLE 4

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  1. Solve a multi-step problem EXAMPLE 4 RENTAL BUSINESS 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.

  2. Solve a multi-step problem EXAMPLE 4 SOLUTION STEP1 Write a linear system. Let xbe the number of pairs of skates rented, and let ybe the number of bicycles rented. x + y =25 Equation for number of rentals 15x + 30y = 450 Equation for money collected from rentals STEP2 Graph both equations.

  3. ANSWER The business rented 20 pairs of skates and 5 bicycles. ? ? 15(20) + 30(5) 450 20+525 = = 450 =450 25 =25 Solve a multi-step problem EXAMPLE 4 STEP3 Estimate the point of intersection. The two lines appear to intersect at(20, 5). STEP4 Check whether (20, 5) is a solution.

  4. In Example 4, suppose the business has a total of 20 rentals and collects $ 420. Find the number of bicycles rented. 6. Solve a multi-step problem EXAMPLE 4 for Example 4 GUIDED PRACTICE SOLUTION STEP1 Write a linear system. Let xbe the number of pairs of skates rented, and let ybe the number of bicycles rented. x + y =20 Equation for number of rentals. 15x + 30y = 420 Equation for money collected from rentals.

  5. x+y 20 15x+ 30y 420 = = 15(12) + 30(8) 420 = Solve a multi-step problem EXAMPLE 4 for Example 4 GUIDED PRACTICE STEP2 Graph both equations. STEP3 Estimate the point of intersection. The two lines appear to intersect at(12, 8). STEP4 Check whether (12, 8) is a solution. 12 + 8 = 20 20 = 20 420 = 420

  6. ANSWER The business rented number of bicycle is 8. Solve a multi-step problem EXAMPLE 4 EXAMPLE 4 for Example 4 GUIDED PRACTICE

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