Travis uses two types of wood to build the roof: redwood for the beams and plywood to cover the roof. Redwood is sold by the linear foot, and plywood by the square foot. Travis has two choices of stores for purchasing these items. The prices for each type of wood are shown in the table below.
|
| A | B |
| Redwood | $2.59 | $2.39 |
| Plywood | $0.99 | $1.09 |
In store A, he would pay $2990.26, and in store B it would be $2879.16.
How many linear feet of redwood does Travis have to buy? How many square feet of plywood does Travis have to buy? (Remember to round your answer to the nearest tens place)
+33654 Let R be the number of feet of Redwood he needs and P be the number of square feet of Plywood.
From store A: 2.59*R + 0.99*P = 2990.26
From store B: 0.99*R + 1.09*P = 2879.16
From B: R = (2879.16 - 1.09*P)/0.99 ...(C)
Put this into A: 2.59*(2879.16 - 1.09*P)/0.99 + 0.99*P = 2990.26
2.59*2879.16/0.99 - 2.59*1.09*P/0.99 +0.99*P = 2990.26
Can you take it from here? (Find P from this then insert the result in C above to find R)
.
+33654 Let R be the number of feet of Redwood he needs and P be the number of square feet of Plywood.
From store A: 2.59*R + 0.99*P = 2990.26
From store B: 0.99*R + 1.09*P = 2879.16
From B: R = (2879.16 - 1.09*P)/0.99 ...(C)
Put this into A: 2.59*(2879.16 - 1.09*P)/0.99 + 0.99*P = 2990.26
2.59*2879.16/0.99 - 2.59*1.09*P/0.99 +0.99*P = 2990.26
Can you take it from here? (Find P from this then insert the result in C above to find R)
.
