Answer:
t = 64 and W = 232
Step-by-step explanation:
W = 3.5t + 8
W = 3.25t + 24
If W equals an expression, and W equals another expression, the two expressions must be equal.
Since W = 3.5t + 8 and W = 3.25t + 24, using the substitution property of equality, you get
3.5t + 8 = 3.25t + 24
Subtract 3.25t from both sides.
0.25t + 8 = 24
Subtract 8 from both sides.
0.25t = 16
Divide both sides by 0.25.
t = 64
Now substitute 64 for t in the first original equation to find W.
W = 3.5t + 8
W = 3.5(64) + 8
W = 232
Answer: t = 64 and W = 232