Last year three people went to the beach. They each drank the same number of canned drinks and had 6 drinks leftover. This year only two of the people went to the beach. They brought the same number of drinks as last year and drank the same number of drinks each as last year, but they had 12 drinks leftover. How many beverages did each friend drink?

Question

Mathematics

Gretchen Beasley

30 October, 16:23

Last year three people went to the beach. They each drank the same number of canned drinks and had 6 drinks leftover. This year only two of the people went to the beach. They brought the same number of drinks as last year and drank the same number of drinks each as last year, but they had 12 drinks leftover. How many beverages did each friend drink?

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Answers (1)

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Atticus Dominguez · Answer 1

6 drinks

Step-by-step explanation:

Let the number of drinks each of them drank last year be x. Now the total amount of drink they drank is 3 * x = 3x.

The total amount of drink brought is

3x + 6.

This year they brought the same number of drinks I. e 3x + 6. They still drank same number each as at last year.

This means each also drank x again. Now the total number of drinks drank this year is 2 * x = 2x.

The total drinks brought however is the addition with the left over. This means total drinks brought this year is 2x + 12

Since the drinks brought last year equals drinks brought this year, this mean:

2x + 12 = 3x + 6

By rearranging, we find x = 6