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

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) (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.
RELATED QUESTIONS
Hi jack sold cookies, cakes and muffins in chocolate or butter flavor. He sold 140 more... (answered by stanbon,greenestamps)

Hi jack sold cookies cakes muffins in chocolate or butter flavor. He sold 140 more... (answered by josgarithmetic,MathTherapy)

Hi At a bakery the ratio of cakes to muffins was 3 to 1. The bakery sold half of total... (answered by josgarithmetic,greenestamps)

Jessica bought some cakes from a bakery. 1/5 of them were chocolate cakes and the rest... (answered by greenestamps,math_tutor2020,josgarithmetic)

Cookies inc. sells peanut butter cookies for $6.50 per dozen and chocolate chip cookies... (answered by ReadingBoosters)

cookies Inc. sells peanut butter cookies for $6.50 per dozen and chocolate chip cookie... (answered by duggie)

Mrs. Ramos sold twice as many butter cookies as chocolate chip cookies and twice as many (answered by ikleyn,Edwin McCravy)

Mrs. Ramos sold twice as many butter cookies as chocolate chip cookies and twice as... (answered by CPhill)

Mrs Thomas baked 3 types of cookies for sale. She baked 24 more walnut cookies than... (answered by josgarithmetic,Octo-pie7,MathTherapy)