MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

Answer: 7 ouncesStep-by-step explanation:Let x = Weight of one blue block.y = Weight of one red block.As per given , we have the following system of equation:[tex]4x+5y=32 ---------------(1)\\\\ x+8y=35 ---------------(2)[/tex]Multiply 4 to equation (2) , we get[tex]4x+32y=140-------(3)[/tex]Eliminate (1) from (3) , we get[tex]27y=108\\\\ y=\dfrac{108}{27}\\\\ y=4[/tex]i.e. Weight of one red block = 4 ouncesPut value of y in (2) , we get[tex]x+8(4)=35\\\\ x=35-32\\\\ x=3[/tex]i.e. Weight of one blue block = 3 ouncesThe combined weight of one red block and one blue block = 4+3 = 7 ounces