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?
Accepted Solution
A:
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.