SOLUTION: Any help would be appreciated, Lisa is weighing combinations of children's blocks. Four blue blocks and five red blocks weigh 32 ounces. One blue block and eight red blocks wei

Question 872258: Any help would be appreciated,
Lisa is weighing combinations of children's blocks. Four blue blocks and five red blocks weigh 32 ounces. One blue block and eight red blocks weigh 35 ounces. What is the combined weight of one red block and one blue block?
Thank you:)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

x= weight of blue blocks
y= weight of red blocks

4 x + 5 y = 32 .............1

1 x + 8 y = 35 .............2
Eliminate y
multiply (1)by -8
Multiply (2) by 5
-32 x -40 y = -256
5 x + 40 y = 175
Add the two equations
-27 x = -81
/ -27
x = 3
plug value of x in (1)
4 x + 5 y = 32
12 + 5 y = 32
5 y = 32 -12
5 y = 20
y = 4
x= 3 weight of blue blocks
y= 4 weight of red blocks
m.ananth@hotmail.ca

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