Question

The equation 10x +5y= 80 where x is the number of sandwiches models the problem in the Solve lt . How many sandwiches can you buy if you buy 3 pizzas? 6 pizzas?

Answer 1

Given:

`10x+5y=80`

Here x represents the number of pizzas and y represents the number of sandwiches.

Buy 3 pizas:

Substitute x=3 in the given expression, and solve for y.

`\begin{gathered} 10x+5y=80 \\ 10*3+5y=80 \\ 5y=80-10*3 \\ y=(80-30)/(5) \\ y=(50)/(5) \\ y=10 \end{gathered}`

Thus, you can buy 10 sandwiches if you buy 3 pizza.

Assume you buy 6 pizzas.

Substitute x=6 in the given expression.

`\begin{gathered} 10x+5y=80 \\ 10*6+5y=80 \\ 5y=80-10*6 \\ y=(80-60)/(5) \\ y=(20)/(5) \\ y=4 \end{gathered}`

Thus, you can buy 4 sandwiches if you buy 6 pizzas.