Question

At a drive through restaurant Juan’s family ordered a small drink and m medium drinks. Alex’s family ordered m medium drinks and a large drink. Write an algebraic expression that shows the total cost in dollars of both orders

Answer 1

Answer:

Expression x + 2my + z represents cost of order where x, y, z are cost of small , medium and large drinks (in dollars) respectively.

Solution:

Given that  

Juan’s family ordered a small drink and m medium drinks.

Alex family ordered m medium drinks and a large drink.

Need to write an algebraic expression which shows total cost of both order in dollars.

Let’s assume cost of one small drink = x

And assume cost of one medium drink = y

And assume cost of one large drink = z

So now cost of order of Juan’s family is equal to cost of 1 small drink + cost of m medium drinks = 1 $\times$ x + m $\times$ y

= x + my

And cost of order of Alex family is equal to cost of m medium drinks + cost of one large drink

= m x y + 1 x z

=my + z

So total cost of both order in dollars = x + my + my + z = x + 2my + z

Hence expression x + 2my + z represents cost of order where x , y , z are cost of small , medium and large drinks (in dollars) respectively.