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Juan has c cheesecakes. Clarence has 5 less than 3 times as many cheesecakes as Juan has and Darlene has 2 more than half as many cheesecakes as Clarence has. Find an expression in terms of $c$ for the total number of cheesecakes Juan, Clarence, and Darlene have.

User Andreasl
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2 Answers

3 votes
C= Clarence, J= Juan, and D= Darlene
C= 3J-5
D= C/2+2
J= c
User Bschneidr
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6.8k points
4 votes

Answer:
c+(3c-5)+(1)/(2)(3c-5)+2

Explanation:

Given : Juan has c cheesecakes.

Clarence has 5 less than 3 times as many cheesecakes as Juan has .

i.e. Expression for cheesecakes Clarence has =
3c-5

Darlene has 2 more than half as many cheesecakes as Clarence has.

i.e. Expression for cheesecakes Darlene has =
(1)/(2)(3c-5)+2

Now, the expression in terms of "c" for the total number of cheesecakes Juan, Clarence, and Darlene have:-


c+(3c-5)+(1)/(2)(3c-5)+2

User Valchris
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7.2k points