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?

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.