Clown A and Clown B used an equal number of balloons during their performance.Clown A then had thrice as many balloons left as Clown B.Both of them used 374 balloons in total during performance and Clown B had 92 balloons left. How many balloons did they have altogether at the beginning of the show?
Question
Clown A and Clown B used an equal number of balloons during their performance.Clown A then had thrice as many balloons left as Clown B.Both of them used 374 balloons in total during performance and Clown B had 92 balloons left. How many balloons did they have altogether at the beginning of the show?
Solution
To solve this problem, we need to follow these steps:
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Since Clown A and Clown B used an equal number of balloons during their performance, we can say that the total number of balloons used, 374, was split equally between them. So, each clown used 374/2 = 187 balloons.
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We know that Clown B had 92 balloons left. So, at the beginning of the show, Clown B had 187 (used) + 92 (left) = 279 balloons.
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We also know that Clown A had thrice as many balloons left as Clown B. So, Clown A had 92 (Clown B's left) * 3 = 276 balloons left.
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Therefore, at the beginning of the show, Clown A had 187 (used) + 276 (left) = 463 balloons.
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So, altogether at the beginning of the show, they had 279 (Clown B's total) + 463 (Clown A's total) = 742 balloons.
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