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

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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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
c small weight
g large weight

COMBINED WEIGHT 1 and 1
c%2Bg=90

TRUCK IS CARRYING
65 large and 70 small boxs, 6000 pounds.
65g%2B70c=6000whcih_is_simplifiable.


SYSTEM OF EQUATIONS
system%28c%2Bg=90%2C13g%2B14c=1200%29-------very simple to solve


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If multiply "90" equation by 13, then
system%2813c%2B13g=1170%2C14c%2B13g=1200%29
add the negative of equation 1 to equation 2;
highlight%28c=30%29
which means that highlight%28g=60%29 .