Question

A storekeeper has two kinds of flour, one selling for 65 cents per pound, and the other selling for 95 cents per pound. How many pounds of each flour should the storekeeper use, to make 100 pounds of flours which will be sold for 83 cents per pound?

Answer 1

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 poundsThe amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 poundsThe amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 poundsThe amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 poundsThe amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds

Answer 2

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds

Explanation:

Let

x ----> amount of 65 cents per pound flour to use

y----> amount of 95 cents per pound flour to use

we know that

`x+y=100` ---->
`y=100-x` ----> equation A

`0.65x+0.95y=0.83(100)` ----> equation B

substitute equation A in equation B

`0.65x+0.95(100-x)=0.83(100)`

Solve for x

`0.65x+95-0.95x=83`

`0.95-0.65x=95-83`

`0.30x=12`

`x=40\ lb`

Find the value of y

`y=100-40=60\ lb`

therefore

The amount of 65 cents per pound flour to use is 40 pounds and the amount of 95 cents per pound flour to use is 60 pounds