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a restaurant sells slices for $2 and calzones for $3. on monday, a total of 54 slices and calzones were sold, and the cashier collected a total of $120 from sales of slices and calzones. let x represent the number of slices and y represent the number of calzones. which system of equations represents the situation?

We could represent this problem with the equations 3s+2c=120 and c+s=54.

We can use 1 equation to solve the other in this type of problem.
Subtract s on both sides on the second equation so we end up with c=54-s. Then, we can substitute that in place of c for the original equation.
3s+2(54-s)=120
Now we only have 1 variable, and the problem is solvable.
3s+108-2s=120
S+108=120
S=12
Now, insert 12 into the original equation to find out the value of c.
C=54-12
C=42
Don’t forget to check!
3(12)+2(42)=129
36+84=120
120=120
C=42 and s=12
Hope this helps!

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