Question

Lori bought some cookies for $2 each and muffins for $3 each. She bought twice as

many muffins as cookies and spent $16. How many cookies did Lori buy?

Answer 1

2 cookies

Explanation:

let c = no. of cookies

2c = no. of muffins

The cost for c cookies is 2c since each cookie was $2

and the cost of 2c muffins is 3(2c) = 6c since each muffing was $3

The total cost = 2c + 6c = 16

8c = 16

c = 2

So, she bought 2 cookies and 4 muffins

Answer 2

2 cookies

Explanation:

let c represent cookies, m represent muffins. set up a system of equations:

2c+3m=16

m=2c

(the top equation shows that cookies are $2 each, and muffins are $3, and that the total cost is $16. the bottom equation shows that Lori bought twice as many muffins as cookies).

then solve the system of equations by substitution, substituting 2c for m in the top equation:

2c+3(2c)=16

2c+6c=16

8c=16

c=2

this means that lori bought 2 cookies.