Question

Kayla and he children went into a restaurant and she bought $63 worth of hotdogs and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more hotdogs than tacos. Write a system of equations that could be used to determine the number of hotdogs and the number of tacos that Kayla bought. Define the variables that you use to write the system.

Answer 1

Answer:

Kayla bought 7 tacos and 10 hotdogs

Step-by-step explanation:

Let the number of hotdogs be x.

Let the number of tacos be y.

i) It is given that x = y + 3

ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126

iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126

   therefore 15y + 21 = 126

 therefore 15y = 105

  therefore y = 7

  Therfore Kayla bought 7 tacos

iv) Using the value of y from iii) in i) we x = 7 + 3 = 10

  Therefore Kayla bought 10 hotdogs