At Taco Bell, I made a large purchase of 13 items that cost a total of $28.17. If Chicken Burritos cost $1.89 each and a Cheesy Gordita Crunch costs $2.49, determine how many of each that I purchased.

Respuesta :

Answer:

Number of Chicken Burritos purchased=7

Number of Cheesy Gordita Crunch purchased=6

Step-by-step explanation:

Let x be the number of Chicken Burritos  and y be the number of Cheesy Gordita Crunch.

Total number items purchased=13

Total cost of 13 items=$28.17

Cost of each Chicken Burritos=$1.89

Cost of each Cheesy Gordita Crunch=$2.49

We have to find number of each items purchased.

According to question

[tex]x+y=13[/tex].....(1)

[tex]1.89x+2.49y=28.17[/tex]...(2)

Equation (1) multiply by 2.49 and  then subtract equation (2) from (1)

[tex]0.6x=4.2[/tex]

[tex]x=\frac{4.2}{0.6}[/tex]

x=7

Substitute x=7 in equation (1)

[tex]7+y=13[/tex]

[tex]y=13-7=6[/tex]

Number of Chicken Burritos purchased=7

Number of Cheesy Gordita Crunch purchased=6