I need to know the three equations for this problem

Question

A Campus Club held a bake sale as a fundraiser selling coffee muffins and sandwiches the club members charged $1 for a cup of coffee $2 for a muffin and $3 for a sandwich they sold a total of 50 items raising $85 if the club member Sold 5 more muffins than cups of coffee how many sandwiches did they sell

Answer 1

We need variables representing the three unknowns. We could let c=number of coffees sold, m=number of muffins, and s=number of sandwiches.

 

The first equation comes from the fact that 50 items are sold. That tells us that: c + m + s = 50

 

The second equation comes from the fact that $85 was raised. That tells us that: c + 2m + 3s = 85

 

Finally, the number of muffins is 5 more than the number of coffees, so we have: m = c + 5

 

Does that help?