Question

The packages in a mail driver’s truck weigh a total of 950 pounds. The large packages weigh 20 pounds each and the small packages weigh 10 pounds each. If he has 10 more large packages than small packages, how many large and small packages are on the truck?

Answer 1

Answer: There are 35 large and 25 small packages on the truck .

Step-by-step explanation:

Let x = Number of large packages.

y= Number of small packages.

According to the given question,  we have the following system of equations:-

$20x+10y=950----------------(1)\\\\ x=y+10--------------(2)$

Substitute the value of x from (2) in (1) , we will get

$20(y+10)+10y=950\\\\ 20y+200+10y=950\\\\ 30y=950-200=750\\\\ y=\dfrac{750}{30}=25$

Put value of y in (2) , we get

$x=25+10=35$

Hence, there are 35 large and 25 small packages on the truck .