Middle School

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image Alan, Benton, Claire, and Dita divided the cost of throwing a party as shown in the circle graph above. If Dita spent $ 12 $12 more than Claire on the party, how much did Benton spend?

image Alan Benton Claire and Dita divided the cost of throwing a party as shown in the circle graph above If Dita spent 12 12

Answer :

Let total amount spent =x

Dita spent 35 % of total amount.

35% of x = 0.35x

So amount spent by Dita = 0.35x

% of money spent by Benton = 20 % of x = 0.2x

We are given that Benton spent $12 more than Claire,

so making equation we have ,

Money spent by Dita = Money spent by Claire +12

[tex] 0.35x =0.2x +12 [/tex]

[tex] 0.35x -0.2x = 12 [/tex]

[tex] 0.5x =12 [/tex]

x=80

So total amount spent was $80.

Money spent by Benton = 0.2x = 0.2 * 80= $16

So amount spent by Benton is $16.



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