A salesman is reimbursed $50 A day for food and lodging. He also recei

1.	A salesman is reimbursed $50 A day for food and lodging. He also receives $.35 for each mile driven. He drives 124 miles and is reimbursed $193.40. How many days was the trip?
Answer» ong>Answer: Solve the problem in Example 1 by carrying out the plan. Then check your answer. Solution STEP 3 Solve the Problem Write a verbal MODEL. Then write an equation. Let a be the number of adult tickets purchased. Cost of adult tickets p Number of adult tickets 1 Cost of children’s ticket p Number of children’s ticket 5 Total cost 8 p a 1 5 • 4 5 44 The equation is 8a 1 20 5 44. One way to solve the equation is to use the strategy GUESS, check and REVISE. Guess a number that seems reasonable considering the total cost of $44. Try 2. 8a 1 20 5 44 Write equation. 8(2) 1 20 0 44 Substitute 2 for a. 36 Þ 44 ✗ Simplify; 2 does not check. Because 36 < 44, try a larger number. Try 3. 8a 1 20 5 44 Write equation. 8(3) 1 20 0 44 Substitute 3 for a. 44 5 44 ✓ Simplify. The group bought 3 adult tickets. STEP 4 Look Back Each adult ticket purchase adds $8 to the total ticket cost. Make a table. Number of adults 01234 Total cost $20 $28 $36 $44 $52 The total cost is $44 when 3 adult tickets are purchased. The answer in Step 3 is correct.

A salesman is reimbursed $50 A day for food and lodging. He also receives $.35 for each mile driven. He drives 124 miles and is reimbursed $193.40. How many days was the trip?

Answer»

ong>Answer:

Solve the problem in Example 1 by carrying out the plan. Then check

your answer.

Solution

STEP 3 Solve the Problem Write a verbal MODEL. Then write an equation. Let a be

the number of adult tickets purchased.

Cost of

adult tickets p

Number of

adult tickets 1

Cost of children’s ticket p

Number of children’s ticket 5

Total

cost

8 p a 1 5 • 4 5 44

The equation is 8a 1 20 5 44. One way to solve the equation is to use the

strategy GUESS, check and REVISE.

Guess a number that seems reasonable considering the total cost of $44.

Try 2.

8a 1 20 5 44 Write equation.

8(2) 1 20 0 44 Substitute 2 for a.

36 Þ 44 ✗ Simplify; 2 does not check.

Because 36 < 44, try a larger number. Try 3.

8a 1 20 5 44 Write equation.

8(3) 1 20 0 44 Substitute 3 for a.

44 5 44 ✓ Simplify.

The group bought 3 adult tickets.

STEP 4 Look Back Each adult ticket purchase adds $8 to the total ticket cost. Make

a table.

Number of adults 01234

Total cost $20 $28 $36 $44 $52

The total cost is $44 when 3 adult tickets are purchased. The answer in Step 3

is correct.