SOLUTION: Hi joan sold cookies cakes and muffins in chocolate or butter flavor. She sold 140 more cookies than cakes.1/5 of the cookies and 2/3 of the cakes sold were chocolate. She sold a

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Question 1020707: Hi
joan sold cookies cakes and muffins in chocolate or butter flavor. She sold 140 more cookies than
cakes.1/5 of the cookies and 2/3 of the cakes sold were chocolate. She sold an equal number of chocolate cookies and cakes.she also sold an equal number of butter cakes and muffins. The number of cakes sold was 3/4 the number of muffins sold.
How many more butter flavored than chocolate flavoured cookies cakes and muffins were sold.
Thanks
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
ASSIGN VARIABLES
w        chocolate cookies
x        butter cookies
y        chocolate cakes
z        butter cakes
p        chocolate muffins
r        butter muffins

SYMBOLIZE THE DESCRIPTION


Look carefully and see this is six equations in six unknown variables. You can begin solving it using the equalities of w or y; and z or r; to eliminate two variables, substitute into the system, simplify it, and have a system of FOUR equations in FOUR unknown variables.

From there, you would likely want to use row-elimination to solve the system for the four variables. You will expect whole-number values for the solution. This is undone here but for you to continue and finish.