Word Problem (how many pounds of pears did he buy?)

[shawnka]

Mr. Adams buys a bag of apples and a bag of pears for the total of $14. There are eight pounds of fruit in all. The apples cost $1.50 per pound, and the pears cost $2.30 per pound. How many pounds of pears did he buy?

Please help me figure the answer out in algebra way. thanks

 

[jsbeckton]

you ned to find two equations because you have two unknowns

let
x=apples
y=pears

total of eight pounds means {x+y=8}
apples cost $1.50 and pears cost $2.30, they add up to $ so
{1.5x+2.3y=14}

solve the first eqn for x and sut that into the second equation to find y

 

[tkhunny]

let
x=apples
y=pears

Try to be more clear and precise.

x = Pounds of Apples Purchased
x = Pounds of Pears Purchased

Write what you mean.

Other than that, you are on your way.

 

[jsbeckton]

let
x=apples
y=pears

Try to be more clear and precise.

x = Pounds of Apples Purchased
x = Pounds of Pears Purchased

Write what you mean.

Other than that, you are on your way.

Precise?
x = Pounds of Apples Purchased
x = Pounds of Pears Purchased
:shock:

do you mean
x = Pounds of Apples Purchased
y = Pounds of Pears Purchased

 

[tkhunny]

I left out "accurate", I guess. Good call.

 

[jsbeckton]

Its not everyday that you catch a Elite Member

 

[Ti-Pro.doc.]

you ned to find two equations because you have two unknowns

let
x=apples
y=pears

total of eight pounds means {x+y=8}
apples cost $1.50 and pears cost $2.30, they add up to $ so
{1.5x+2.3y=14}

solve the first eqn for x and sut that into the second equation to find y

try moving the 1.5x to the othe side of the equation.
2.3y=14-1.5x.

then divide everything by 2.3.
y=6.09-0.65x .

graph the equation.
find the intersect of the 2 lines.
the x-varriable will be how many pounds of apples.
the y-varriable will be the amount of pears.

 

[Denis]

Mr. Adams buys a bag of apples and a bag of pears for the total of $14. There are eight pounds of fruit in all. The apples cost $1.50 per pound, and the pears cost $2.30 per pound. How many pounds of pears did he buy?
Please help me figure the answer out in algebra way. thanks

ALGEBRA way:
p = pears in pounds; then apples = (8 - p) pounds

1.50(8 - p) + 2.30p = 14 : solve for p