An ice cream shop sells two type of cones: cake cones for $1.75 and waffle cones for $3.25. on tuesday, they sold 50 more waffles cones than cake cones. The total money they collected on cone sales on tuesday was $1422.50. How many cake cone did they sell on tuesday?( this is a matrix word problem)

sorry no idea

Step-by-step explanation:

252 Cake Cones

Step-by-step 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!

The points are (1, -11) and (17, -11).

Step-by-step explanation:

The distance between points (x1, y1) and (x2, y2) is

We have values for x1, y1, and y2. We leave x for x2, and we solve for x.

Square both sides.

  or  

x = 1 or x = 17

The points are (1, -11) and (17, -11).