Question

Hector buys a shirt and a tie. The shirt costs $34, which is $18 more than the cost of the tie. Olivia and Max each write an equation to find the cost of the tie t. Is one equation, both equations, or neither equation correct? Explain how you know.

t + 18 = 34 - Olivia
34 - t = 18 - Max

Answer 1

Both equations are correct

Explanation:

Let

s-----> the cost of the shirt

t-----> the cost of the tie

we know that

`s=34`

`t=s-18`

substitute

`t=34-18` -----> linear equation that represent the situation

rewrite 1

Adds 18 both sides

`t=34-18` ------->
`t+18=34` ------> Olivia equation is correct

rewrite 2

Subtract t both sides

`t+18=34` -------->
`18=34-t` ------> Max equation is correct