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

Answer: 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