At the end of the year, Juan has $52.71 more than 4 times his balance at the beginning of the year. If his ending balance is $172.90, what was his balance at the beginning of the year?

1 Answer
May 8, 2018

#color(blue)($30.05)#

Explanation:

Let #b="balance at beginning of the year"#

At the end of the year his ending balance was 4 times his starting balance plus $52.71 and the total was $172.90.

#:.#

#4b+52.71=172.90#

Solving for #b#:

#4b=172.90-52.71#

#4b=120.19#

#b=120.19/4=30.05color(white)(888)# 2 d.p.

Balance at the beginning of the year:

#color(blue)($30.05)#