Whats the cost of each vegetable if 5 squash and 2 zucchini is $1.32

Step-by-step explanation:

We first need to define a couple of variables.  Let s = the cost of 1 squash and z = the cost of 1 zucchini.

Now lets translate the words into algebra:

"The cost of 5 squash and 2 zucchini is $1.32"  ===>  5s  +  2z  =  1.32

"Three squash and 1 zucchini cost $0.75"  ===>   3s  +  z  =  0.75

There are several ways to solve systems of equations.  Let's use substitution.  We can find what z equals in terms of s by manipulating the second equation:

 3s  +   z   =   0.75

-3s                 -3s

           z    =  -3s  +0.75

Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:

 5s + 2(-3s + 0.75) = 1.32

Can you handle it from here?

(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)

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