Determine which is the better buy. 3 pounds of pellets for $4.95 or 5 pounds of pellets for $7.50 The unit price for 3 pounds of pellets for $4.95 is $nothing per pound. The unit price for 5 pounds of pellets for $7.50 is $nothing per pound. The unit price for 3 pounds of pellets for $4.95 is ▼ equal toequal to greater thangreater than less thanless than the unit price for 5 pounds of pellets for $7.50. So, ▼ 5 pounds of pellets for $7.50 3 pounds of pellets for $4.95 is the better buy. (Type integers or decimals.)

5 pounds of pellets for $7.50 is the better buy

Step-by-step explanation:

We are expected to solve for the cheapest buy per unit of a pound. that is the rate.

the first situation is  3 pounds of pellets for $4.95

let us solve for the cost of one pound of pellets

3 pounds cost  $4.95

1 pound will cost x

cross multiply

x=4.94/3

x=$1.65 per pound

the second situation is 5 pounds of pellets for $7.50

let us solve for the cost of one pound of pellets

5 pounds of pellets for $7.50

1 pound will cost x

cross multiply

x=7.50/5

x=$1.5 per pound

The second situation is the better buy

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

1.30

step-by-step explanation: