SOLUTION: Erik ordered three different types of plants for his vegetable garden: beans. potatoes, and carrots. He ordered a dozen more potato plants than twice the number of bean plants, and

Algebra ->  Inequalities -> SOLUTION: Erik ordered three different types of plants for his vegetable garden: beans. potatoes, and carrots. He ordered a dozen more potato plants than twice the number of bean plants, and      Log On


   

Question 726138: Erik ordered three different types of plants for his vegetable garden: beans. potatoes, and carrots. He ordered a dozen more potato plants than twice the number of bean plants, and the same number of carrot plants as bean plants. He ordered 72 plants altogether. How many of each plant did Erik order?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
P=2B+12
C=B
C+B+P=72
B+B+(2B+12)=72
4B+12=72
4B=72-12
4B=60
B=60/4
B=15 NUMBER OF BEAN PLANTS ORDERED.
C=15 DITTO
P=2*15+12
P=30+12
P=42 NUMBER OF POTATO PLANTS ORDERED.
PROOF:
15+15+42=72
72=72