Question

A question I have been trying to solve:

The Larsen Family bought 3 jumbo burritos and 2 regular burritos for $3.65. The Russo family bought 5 jumbo burritos and 2 regular burritos for $20.23. Does a jumbo burrito cost more than $3.00? Write and solve a system of equations to justify your answer.

Answer 1

A jumbo burrito cost more than $3.00

Explanation:

The correct question is

The Larsen Family bought 3 jumbo burritos and 2 regular burritos for $13.65. The Russo family bought 5 jumbo burritos and 2 regular burritos for $20.23. Does a jumbo burrito cost more than $3.00? Write and solve a system of equations to justify your answer

Let

x ---> the price of one jumbo burrito

y ---> the price of one regular burrito

we know that

The Larsen Family

`3x+2y=13.65` ----> equation A

The Russo family

`5x+2y=20.23` ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is (3.29,1.89)

see the attached figure

The cost of a jumbo burrito is $3.29

therefore

A jumbo burrito cost more than $3.00