re charges $$ \$ 10.00 $$ for a pack of hotdogs and $$ \$ 8.00 $$ for a pack of hotdog ns. Store B charges $$ \$ 11.00 $$ for a pack of hotdogs and $$ \$ 7.50 $$ for a pack of tdog buns. ippose you buy x packs of hotdogs and y packs of hotdog buns at both ores. You end up spending $$ \$ 80.00 $$ at store A and $$ \$ 81.50 $$ at store B. mich system of equations represents the total amount of money you spent n hotdogs and hotdog buns at each store?

Question

UpStudy AI · Accepted Answer

To represent the total amount of money spent on hotdogs and hotdog buns at each store, we can set up a system of equations based on the prices and the total amounts spent.

Let:
- $$ x $$ = number of packs of hotdogs
- $$ y $$ = number of packs of hotdog buns

For Store A:
- The cost of hotdogs is $$ 10.00 $$ per pack.
- The cost of hotdog buns is $$ 8.00 $$ per pack.
- The total amount spent at Store A is $$ 80.00 $$.

The equation for Store A can be written as:
$$
10x + 8y = 80
$$

For Store B:
- The cost of hotdogs is $$ 11.00 $$ per pack.
- The cost of hotdog buns is $$ 7.50 $$ per pack.
- The total amount spent at Store B is $$ 81.50 $$.

The equation for Store B can be written as:
$$
11x + 7.5y = 81.5
$$

Thus, the system of equations representing the total amount of money spent at each store is:
$$
\begin{align*}
1. & \quad 10x + 8y = 80 \
2. & \quad 11x + 7.5y = 81.5
\end{align*}
$$
The system of equations is: $$ \begin{align*} 1. & \quad 10x + 8y = 80 \ 2. & \quad 11x + 7.5y = 81.5 \end{align*} $$

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions