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 :

Given:

[tex]10x+5y=80[/tex]

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.

[tex]\begin{gathered} 10x+5y=80 \\ 10\times3+5y=80 \\ 5y=80-10\times3 \\ y=\frac{80-30}{5} \\ y=\frac{50}{5} \\ y=10 \end{gathered}[/tex]

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

Assume you buy 6 pizzas.

Substitute x=6 in the given expression.

[tex]\begin{gathered} 10x+5y=80 \\ 10\times6+5y=80 \\ 5y=80-10\times6 \\ y=\frac{80-60}{5} \\ y=\frac{20}{5} \\ y=4 \end{gathered}[/tex]

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

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