Question

Last week, Matt spent twice as much on bus fare as he did on lunch, and 3 dollars less on entertainment than he did on bus fare.

If x represents the amount, in dollars, spent on lunch, express in terms of x the total amount Matt spent on lunch, bus fare, and entertainment.
Express in simplest form.

Answer 1

The expression in term of x

The amount of money spent on bus fare = $2 x

The amount of money spent on entertainment = $(2 x - 3)

Explanation:

Given statement as :

Matt spent twice as much on bus fare as he did on lunch

Matt spent $3 less on entertainment than on bus fare

Let The Amount of money spend on lunch = $x

Now, According to question

The amount of money spent on bus fare = twice as he spent on lunch

i.e The amount of money spent on bus fare = 2 × $x

∴ The amount of money spent on bus fare = $2 x

Again

The amount of money spent on entertainment = The amount on bus fare - $3

I.e The amount of money spent on entertainment = $2 x - $3

∴The amount of money spent on entertainment = $(2 x - 3)

Hence, The expression in term of x

The amount of money spent on bus fare = $2 x

The amount of money spent on entertainment = $(2 x - 3)

Answer