Josh plans to make bird houses to sell at a craft fair the sample of wood he uses has an area of 1/5 square foot in weighs 1/2 lb the local hardware store sells the wood only by the square yard there are 9 square feet in 1 square yard a. how many pounds of the wood are there in 1 square yard? b. if josh needs three square yards of the woods in all how many pounds of the wood does he need

a.) 22.5 lb and b.) 67.5 lb

Step-by-step explanation:

a.Weight of 1/5 square foot sample of wood = 1/2 lb

Multiplying 5 on both sides we get ,

weight of 1 square foot sample of wood=1/2×5=5/2 lb

Now, 1 square yard = 9 square feet

Thus weight of sample of wood in 1 square yard = 9 ×weight of 1 square foot sample of wood=9×5/2=45/2=22.5 lb

b. Weight of three square yards of wood=3 times weight of wood in 1 square yard

=3×22.5=67.5 lb

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b