Question

The Carter’s can purchase seasons choice birdseed blend for $1.59 per pound and harden mix birdseed blend for $0.99 per pound. If they wish to purchase 20 pounds and send $27 on birdseed, how many pounds of each type should they buy?

Answer 1

let

x = pounds of seasons choice birdseed blend

y= pounds of harden mix birdseed blend

The first equation is about the number of pounds

x+y=20

The second equation is about the money they want to spend

1.59x+0.99y=27

we isolate x from the first equation

x=20-y

then we substitute in the second equation

1.59(20-y)+0.99y=27

we simplify the equation

31.8-1.59y+0.99y=27

then we sum like terms

-0.6y=27-31.8

-0.6y=-4.8

then we isolate the y

y=-4.8/-0.6

y=8

then we substitute the value of y in the equation with x isolate

x=20-8

x=12

They will purchase

12 pounds of seasons choice birdseed blend

8 pounds of harden mix birdseed blend