Question

A small truck can hold a total of 40 crates and boxes. For every 3 crates the truck can hold, there is room for 5 boxes. How many crates and boxes are in the truck when it is completely full?

Answer 1

Answer: There are 25 crates and 15 boxes in the truck when it is full.

Step-by-step explanation:

Let c= Number of crates , b= Number of boxes.

As per given,

$c+b = 40$     (i)

$3c=5b\\\\\Rightarow\ c=\dfrac{5b}{3}$        (ii)

Put value of c from (ii) in (i)

$\dfrac{5b}{3}+b = 40\\\\\Rightarrow\ \dfrac{5b+3b}{3}=40\\\\\Rightarrow\ \dfrac{8b}{3}=40\\\\\Rightarrow\ 8b=3\times40\\\\\Rightarrow\ 8b=120\\\\\Rightarrow\ b=\dfrac{120}{8}=15$

put value of b in (ii),

$c=\dfrac{5\times15}{3}=5\times5=25$

Hence, there are 25 crates and 15 boxes in the truck when it is full.