Problema Solution
Sue is packing boxes for a removal company. She packed 55 boxes in 5 hours. Since she is getting better at it, each hour she packs 2 more boxes than the previous hour. How many did she pack in the last hour.
Answer provided by our tutors
lets assume Sue packed x boxes in the first hour
second hour she packed 2 more boxes than the previous hour that is: x + 2
third hour she packed 2 more boxes than the previous hour that is: x + 2 + 2 = x + 2*2
fourth hour she packed 2 more boxes than the previous hour that is: x + 2*2 + 2 = x + 2*3
fifth hour she packed 2 more boxes than the previous hour that is: x + 2*3 + 2 = x + 2*4
She packed total of 55 boxes in 5 hours thus
x + x + 2 + x + 2*2 + x + 2*3 + x + 2*4 = 55
by solving we find
x = 7
click here to see the step by step solution of the equation
7 + 2*4 = 15
Sue packed 15 boxes in the last hour.