Answer:
252 Cake Cones
Explanation:
You have to make your own formula with the numbers in the problem. Here's how I set it up:
w= number of waffle cones
c=number of cake cones
We know that the number of waffle cones is the number of cake cones plus 50, so we write that out here: w=c+50
And we know that the sales total was $1422.50. That is, the number of waffle cones times the cost per cone plus the number of cake cone times their cost per cone, and we can write that out here: (3.25× w) + (1.75×c) =1,422.50.
Now, we can substitute our first formula into the second formula to solve for C. The new equation reads: 3.25(c+50) + 1.75c=1,422.50
Distribute 3.25 to c and 50: 3.25c +162.50+1.75c=1,422.50
Combine like terms: 5c +162.50=1422.50
Subtract 162.50 from both sides: 5c=1260
Divide both sides by 5: C=252
TO CHECK YOUR WORK
Now that you have solved for C, plug that figure back into the first equation to solve for w: (252)+50=w, W=302
Now plug both numbers into your equation for the total cost:
3.25(302) + 1.75(252)=1,422.50
981.5+441= 1,422.50
You're done!