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ewinter13
14.12.2020 •
Mathematics
A croissant a cup of coffee and a fruit bowl from Kelly's coffee cart cost a total of $5.50 and a croissant cost twice as much as a cup of coffee Kelly post a notice announcing that effective next week the price of a croissant will go up 25% and the price of coffee will go up 20% after the increase the total price of the purchase will be $6.03. Find the cost of each item before the increase.
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Ответ:
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
Step-by-step explanation:
Step 1
A croissant, a cup of coffee, and a fruit bowl cost $5.50 also a croissant costs twice as much as a cup of coffee
so let cost of a cup of coffee=C
cost of croissant=2C
cost of fruit bowl = F
Such that
C+2C+F= 5.50
3C+F=5.50equation 1
Also, effective next week, the price of a croissant will go up 25% and the
price of coffee will go up 20% Giving us that
new cost of croissant=(2C)(1+25/100)=2.5C
new price of coffee=(C)(1+20/100)=1.20C
new price of fruit bowl still remains unchanged =F
such that
2.5C +1.20C + F=6.03
3.7C+F=6.03 equaton 2
Step 2
3C+F=5.50equation 1
3.7C+F=6.03 equaton 2
By elimination method, we subtract eqn 1 from eqn 2
3.7C - 3C + F -F=6.03-5.5
0.7 C=0.53
C= 0.53/0.7
C=0.7571
2C= 1.5142
3C+F=5.50
3 X 0.7571 + F= 5.50
2.27 + F= 5.50
F= 5.50-2.271= 3.229
cost of Croissant =$ 1.5142
cost of Coffee=$0.7571
cost of fruit bowl = $3.229
Ответ:
cookie
Step-by-step explanation: