# Henry needs to rent a moving truck. Suppose Company A charges a rate of $50 per day and Company B charges$70 fee plus $30 per day. For what number of days is the cost the same? ##### 1 Answer Jul 12, 2018 $3 \frac{1}{2} \mathrm{da} y s$#### Explanation: To solve this set Company A equal to Company B Let $n = \mathrm{da} y s$The cost for Company A is $50n
The cost for Company B is $70 +$30n

Set the equation $50n =$70 + $30n $50 n = 70 + 30 n$Use additive inverse to combine the variable terms on one side of the equation. $50 n - 30 n = 70 \cancel{+ 30 n} \cancel{- 30 n}$$20 n = 70$Use multiplicative inverse to isolate the variable. $\frac{\cancel{20} n}{\cancel{20}} = \frac{70}{20}$$n = \frac{7}{2}$or $3 \frac{1}{2}\$