45.7k views
1 vote
Please help me with this problem

Please help me with this problem-example-1
User Skomisa
by
7.9k points

1 Answer

6 votes

Answer:

Keisha bought 3 sandwiches and 5 lemonades.

Equations: x + y = 8 2x + y = 11

Explanation:

To solve a problem with two variables, you need to set up a system of equations comparing the two variables and solve using either substitution or elimination. If 'x' represents the number of sandwiches and 'y' represents the number of lemonades, then x + y = 8 because they bought a total of 8 items. Also, the cost of each item is given as well as the total amount of money spent. So, our second equation is: 2x + y = 11. We can use inverse operations to solve for 'y' in the first equation: x + y - x = 8 - x which simplifies to: y = 8 - x. We can then use this expression to substitute in for the variable 'y' in the second equation: 2x + 8 - x = 11.

Combine like terms: x + 8 = 11

Inverse Operations: x +8 - 8 = 11 - 8

Solve: x = 3, so Keisha bought 3 sandwiches

Solve for y: y = 8 - 3 = 5, so Keisha bought 5 lemonades

User DanielGrech
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories