Question

A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)

A.45(x+3)=60x

B.45(x-3)=60x

C.60(x-3)=45x

D.60(x+3)=45x

Answer 1

D.60(x+3)=45x

Let the price of the cheap wood be x.
Then, the price of the expensive wood is x + 3.
The total cost of the cheap wood is 60x, and the total cost of the expensive wood is 45(x + 3) = 45x + 135.
Since the total cost of both types of wood is the same, we can write:
60x = 45x + 135
Simplifying and solving for x, we get:
15x = 135
x = 9
Therefore, the price of the cheap wood is $9, and the price of the expensive wood is $12.
Plugging in these values into the answer choices, we find that only option D is true.