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?
Answers
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.