Question

A cookware consultant sells two types of pizza stones. The circular(e) stone sells for $26 and the rectangular (r) one sells for $34. In one month she sold 37 stones. If she made a total of $1138 from the sale of the pizza stones, how many of each size did she sell?​

Answer 1

Answer:

Step-by-step explanation:

Conditions

Let the circular stones = x

Let the rectangular stones = y

Equations

x + y = 37                          Subtract x from both sides of this equation.

y = 37 - x                           Notice that x is on the right side of the equation

Solution

26x   +  34y = 1138                 Substitute for y

26x + 34(37 - x) = 1138           Remove the brackets

26x + 1258 -34x= 1138           Combine

-8x + 1258 = 1138                    Subtract 1258 from both sides

-8x +1258-1258 = 1138-1258  Combine.  

-8x = -120                                Divide both sides by -8

-8x/-8 = -120/-8

x = 15                                       Two minuses make a plus (last step)

x+ y = 37

15 + y = 37                               Subtract 15 from both sides

15-15 +y = 37-15                     Combine

y = 22

Answer

x = 15     Circular pizza dishes

y = 22   square pizza dishes

Answer 2

Answer:

The consultant sold 15 circular stones and 22 rectangular ones

Step-by-step explanation:

let quantity of circular stones be X , rectangular ones be Y

thus:,We can deduce that,

26x+34y=1138...... equation 1

He sold total of 37 ,both stones

x+y=37... equation 2

Solving simultaneously

make Y subject of the formula in equation 1

34y=1138-26x