hans needs to rent a moving truck. suppose company a charges a rate of $40.00 per day and company b charges $60.00 fee plus $20.00 per day . for what number of days is the cost the same

## company a charges $40.00 per day company b charges $60.00 plus $20.00 per day for what number of days is the cost the same

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# 2 Answers

1. Hans needs to rent a moving truck. Suppose Company

**A**charges**$40.00 per day**and Company**B**charges a $60.00 fee plus**$20.00 per day,**for what number of days is the cost the same?Let

**x = # of days**, since Company A charges**$40/day**then cost after**x**days =**40x**Let

**x = # of days**, since Company B charges**$20/day**plus $60 fee, then cost after**x**days =**20x + 60****a. For what # of days is the cost the same?**

**When the cost is the same => 40x = 20x + 60**

40x - 20x = 60

20x = 60

x = 60/20

**x = 3**

The cost is the same after

**3 days.****Checking:**

$40(3) = $20(3) + $60

$120 = $60 + $60

$120 = $120

Hi Shauna;

I enjoy these questions.

x=quantity of days.

40x=60+20x

Let's isolate x by placing all x items on one side.

To do this, we will subtract 20x from both sides.

-20x+40x=60+20x-20x

20x=60

x=3

Let's test this result.

$40 x 3 days = $120 for 3 days.

$60 + ($20 x 3 days) = $120 for 3 days.