Question

table Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden Delicious apples are $1.25 each. Mary spent $21.00 on 22 apples. How many Golden Delicious apples did Mary buy?

Answer 1

Tldr: The answer is 9

Answer 2

1. To solve this problem, you must make a System of equations.

 2. The equations are:


 d+g=22 (i) 
 0.75d+1.25g=21 (ii)

 3. If you clear "d" from the equation (i), you have:

 d+g=22
 d=22-g

 4. Now, you must substitute d=22-g into the equation (ii):

 0.75d+1.25g=21
 0.75(22-g)+1.25g=21

 5. When you clear "g", you obtain its value:

 16.5-0.75+1.25g=21
 16.5+0.5g=21
 0.5g=21-16.5
 g=4.5/0.5
 g=9 Golden Delicious apples

 6. If you also want to know the value of "d", you can substitute g=9 into the equation (i) and clear "d":

 d+g=22
 d+9=22
 d=22-9
 d=13 Delicious apples

 How many Golden Delicious apples did Mary buy?

 The answer is: Mary bought 9 Golden Delicious apples.