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Jobisdone [24]
3 years ago
11

Jake, Sara, and Cole are selling tickets for the school drama show. Sara sells half as many tickets as Jake. Cole sells 6 more t

han twice as much as Jake. They sold a total of 538 tickets together.
a) Write an equation to represent the situation.
b) Solve to find how many tickets Sara sold.
Mathematics
2 answers:
3241004551 [841]3 years ago
7 0
We let x be the number of tickets that Sara and Jake sold individually. With this representation, the number of tickets sold by Cole is equal to 2x+6. 

(a) x + x + (2x + 6) = 538
The value of x from the generated equation is 133. 

(b) Sara sold a total of 133 tickets. 
andrew11 [14]3 years ago
4 0

Answer:

Let x be the number of tickets Jake sold,

Since, Sara sells half as many tickets as Jake.

⇒ The ticket sold by Sara = \frac{x}{2}

Also, Cole sells 6 more than twice as much as Jake.

⇒ The ticket sold by Cole = 2x + 6,

Thus, the ticket sold by all three = x+\frac{x}{2}+2x+6

a) According to the question,

x+\frac{x}{2}+2x+6=538

b) By solving this equation,

\frac{2x+x+4x+12}{2}=538

\frac{7x+12}{2}=538

7x+12=1076

7x=1064

\implies x=\frac{1064}{7}=152

Thus, the number of tickets Sara has = \frac{x}{2}=\frac{152}{2}=76

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