Question

Mother made cupcakes for the church picnic. "If I had made 6 more chocolate cupcakes, I would have as many chocolate as I do white and peppermint combined," said Mother. "I have 4 more white than peppermint." Altogether she baked 50 cupcakes. How many of each kind did she have?

Answer 1

12 peppermint cupcakes, 16 white cupcakes, 22 chocolate cupcakes

Explanation:

x+(x+4)+(x+(x+4)-6)=50

4x+4+4-6=50

4x+4-2=50

4x+2=50

4x=48

x=48/4

x=12 peppermint cupcakes

12+4= 16 white cupcakes

12+12+4-6=

12+16-6=

12+10= 22 chocolate cupcakes

check:

12+16+22=50

28+22=50

50=50 ✓

Answer 2

The answer is 12 peppermint cupcakes 16 white cupcakes 22 chocolate cupcakes

Explanation:

x+(x+4)+(x+(x+4)-6)=50

4x+4+4-6=50

4x+4-2=50

4x+2=50

4x=48

x=48/4

x=12 peppermint cupcakes

12+4= 16 white cupcakes

12+12+4-6=

12+16-6=

12+10= 22 chocolate cupcakes

check:

12+16+22=50

28+22=50

50=50 ✓