Q:

A bakery sells muffins and cookies. The total number of muffins and cookies sold is 78. The number of muffins sold is 15 more than twice the number of cookies sold. Let's use variables to represent the number of muffins and cookies sold. 

 Let:
 M represent the number of muffins sold.
 Let C represent the number of cookies sold.

 From the information given, we can create two equations :

1. The total number of muffins and cookies sold is 78, so we have:
M + C = 78

 :2. The number of muffins sold is 15 more than twice the number of cookies sold, which can be represented as:
M = 2C + 15

So, the equations representing the situation are:
 M + C = 78 (Total number of items sold) 
M = 2C + 15 (Number of muffins in terms of cookies). How would be the best way to find out the exact number of muffins sold and the exact number of cookies sold which equal to 78

Accepted Solution

A:
Substitute M=2C+15 in M+C=78 we get, 2C+15+C=78 3C+15=78 Subtract 15 on both side 3C+15-15=78-15 3C=63 Divide by 3 on both side 3C/3=63/3 C=21 Number of cookies sold =21 Muffins sold(M)=2C+15 Substitute C=21 in above equation, we get M= 2*21+15= 42+15= 57 Number of muffins sold= 57 Number of cookies sold=21