SOLUTION: I have a word problem my son and I can't figure out. I would appreciate any help you can give.
10 triangles weigh as much as 3 squares and 1 circle. 2 triangles and 1 circle are
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10 triangles weigh as much as 3 squares and 1 circle. 2 triangles and 1 circle are
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Question 558532: I have a word problem my son and I can't figure out. I would appreciate any help you can give.
10 triangles weigh as much as 3 squares and 1 circle. 2 triangles and 1 circle are equal in weight to 1 square. How many triangles weigh as much as 1 square.
thank you for your help.
You can put this solution on YOUR website! Hopefully your son is familiar with algebra and with systems of equations.
We have to start by defining some variables, and I like to use letters that remind me of the meaning of the variable: = weight of 1 triangle = weight of 1 circle = weight of 1 square
"10 triangles weigh as much as 3 squares and 1 circle" can be written as
"2 triangles and 1 circle are equal in weight to 1 square" can be written as
We have two equations with 3 variables: =
Let's add both equations, to get the sum of the left hand sides equal to the sum of the right hand sides, to try to find the values of and as a function of :
We can simplify, eliminating and collecting like terms to get
Dividing by 4 both sides we get which is the answer to the problem.
Three triangles weigh as much as 1 square.
