SOLUTION: Peas cost $y per kg and Beans cost $(y+2) per kg. $15 is spent on peas and $9 on beans. The total mass of the peas and the beans is 8 kg. Write an expression for both the peas and

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Peas cost $y per kg and Beans cost $(y+2) per kg. $15 is spent on peas and $9 on beans. The total mass of the peas and the beans is 8 kg. Write an expression for both the peas and       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 737686: Peas cost $y per kg and Beans cost $(y+2) per kg. $15 is spent on peas and $9 on beans. The total mass of the peas and the beans is 8 kg. Write an expression for both the peas and the beans to determine the mass of each. Steps Required.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Peas cost $y per kg and Beans cost $(y+2) per kg. $15 is spent on peas and $9 on beans. The total mass of the peas and the beans is 8 kg. Write an expression for both the peas and the beans to determine the mass of each. Steps Required.

Peas cost $y per kg
amount spent = $15
Number of kg = 15/y
Beans cost $(y+2) per kg.
amount spent = $9
Number of kg = 9/(y+2)
The total mass of the peas and the beans is 8 kg.

15%2Fy+%2B+9%2F%28y%2B2%29=+8


%2815%28y%2B2%29%2B9y%29%2F%28y%28y%2B2%29%29+=8


(15y+30 +9y)= 8y(y+2)
24y+30 = 8y^2+16
8y^2-24y-14=0
/2
4y^2-12y-7=0
4y^2-14y+2y-7=0
2y(2y-7)+1(2y-7)=0
(2y-7)(2y+1)=0
2y=7 OR 2y=-1
ignore negative
2y=7
y=3.5
now you can work out x