SOLUTION: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 pounds. The truck is transporting 65 large boxes and

Question 1201056: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 90 pounds. The truck is transporting 65 large boxes and 70 small boxes. If the truck is carrying a total of 6000 pounds in boxes, how much does each type of box weigh?

Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The combined weight of a large box and a small box is 90 pounds.
Let the small box weigh x pounds
and large box weigh weigh y pounds
Equating the numbers
x+y =90 ....................1
The truck is transporting 65 large boxes and 70 small boxes. The truck is carrying a total of 6000 pounds in boxes,
Equating the weight
70x +65y =6000 ..............2
x+y =90 ( Multiply by -70
-70x-70y = -6300
70x +65y =6000
Add both equations
-5y = -300
y= 60 pounds
Balancex= 30 pounds

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
c small weight
g large weight

COMBINED WEIGHT 1 and 1

TRUCK IS CARRYING
65 large and 70 small boxs, 6000 pounds.
.

SYSTEM OF EQUATIONS
-------very simple to solve

---
---
If multiply "90" equation by 13, then

add the negative of equation 1 to equation 2;

which means that .
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