Question

Kayla is selling lemonade for $1 and cookies $0.50 outside of her house in order to earn enough money to buy a bike that costs $249. The number of cookies, C, that she sells is half the number of lemonade, L, that she sells. Which system of equations matches the situation?

Answer 1

Explanation:

Step one:

Cost of one lemonade= $1

Cost of one Cookie= $0.5

Cost of bike= $249

Step two

let the number of cookie be C

and the number of lemonade be L

The total cost expressed as a function of the numbers of lemonade and cookie is

249=C+0.5L------------1

we are told that

C=L/2----------------------2

Therefore substitute C=L/2 we have

249=L/2+0.5L

249=0.5L+0.5l

249=L

The system of equation is

249=C+0.5L------------1

C=L/2----------------------2