A truck contained 35 boxes, some weighing 6 pounds and the rest weighing 10 pounds. If the total weight of the boxes was 262 pounds, find the number of each type of box in the truck.

**x = number of 6 pound boxes**

35 - x = number of 10 pound boxes{there are 35 boxes}

35 - x = number of 10 pound boxes

6x + 10(35 - x) = 262 {weight of each box multiplied by number of boxes equals total weight}

6x + 350 - 10x = 262 {used distributive property}

-4x + 350 = 262 {combined like terms}

-4x = -88 {subtracted 350 from each side}

x = 22 {divided each side by -4}

35 - x = 13 {substituted 22, in for x, into 35 - x}

**22 six pound boxes**

13 ten pound boxes

13 ten pound boxes

**- Algebra House**