Asked by jo
Daniel, Susan and Rick bought some cookies to sell. The cookies were sold at 6 for $2. Daniel sold 1/4 of the cookies. Susan sold 2/7 as many cookies as Rick. Daniel and Susan sold a total of 120 cookies.
a)How many cookies did they sell altogether?
b)How much did they collect from the cookies sold?
c)If the cookies costs $0.20 each, how much profit did they make from the sale?
a)How many cookies did they sell altogether?
b)How much did they collect from the cookies sold?
c)If the cookies costs $0.20 each, how much profit did they make from the sale?
Answers
Answered by
Henry
X = total # of cookies bought.
X/4 = The # of cookies sold by Daniel.
Y = The # of cookies sold by Rick.
2Y/7 = The # of cookies sold by Susan.
X/4 + 2Y/7 = 120 = The # of cookies sold by Daniel and Susan.
Multiply both sides by 28:
Eq1: 7x + 8y = 3360.
y = x - 120,
Eq2: x - y = 120.
Multiply Eq2 by 8 and add to Eq1:
7x + 8y = 3360
8x - 8y = 960
Sum: 15x = 4320,
X = 288 = The # of cookies sold.
X/4 = The # of cookies sold by Daniel.
Y = The # of cookies sold by Rick.
2Y/7 = The # of cookies sold by Susan.
X/4 + 2Y/7 = 120 = The # of cookies sold by Daniel and Susan.
Multiply both sides by 28:
Eq1: 7x + 8y = 3360.
y = x - 120,
Eq2: x - y = 120.
Multiply Eq2 by 8 and add to Eq1:
7x + 8y = 3360
8x - 8y = 960
Sum: 15x = 4320,
X = 288 = The # of cookies sold.
Answered by
Henry
b. Amt = $2/6 * 288 = $96.
c. Cost = $.20 * 288 = $57.60.
Profit = $96 - $57.60 = $38.40.
c. Cost = $.20 * 288 = $57.60.
Profit = $96 - $57.60 = $38.40.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.