Emily has 5u game cards. John has 8/3 fewer cards than Emily. Find the average number of game cards that Emily and John have in all in terms of u.
(5u)+(5u - 8/3)
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2
though I'm not sure how 8/3 fewer is possible.
To find the average number of game cards that Emily and John have, we need to calculate the total number of game cards they have together and divide it by the number of people.
Let's first find the number of game cards John has:
John has 8/3 fewer cards than Emily, so the number of game cards John has is:
5u - (8/3)u
Now, let's find the total number of game cards Emily and John have together:
Total = Emily's cards + John's cards
Total = 5u + [5u - (8/3)u]
Total = 5u + 5u - (8/3)u
Now, let's simplify the expression for the total number of game cards:
Total = 10u - (8/3)u
Total = (30u - 8u)/3
Total = (22u)/3
Finally, let's find the average:
Average = Total number of game cards / Number of people
Average = (22u)/3 / 2
Average = (22u/3) * (1/2)
Average = 11u/3
So, the average number of game cards that Emily and John have in terms of u is 11u/3.
To find the average number of game cards that Emily and John have in total, we need to first determine the total number of game cards Emily and John have together.
Given that Emily has 5u game cards, we can find the number of game cards John has by subtracting 8/3 from Emily's total.
8/3 fewer cards than Emily implies that John has 5u - 8/3 cards.
Adding the number of cards Emily and John have together, we get:
Total cards = Emily's cards + John's cards
Total cards = 5u + (5u - 8/3)
To combine the terms, we need a common denominator. The common denominator for 3 and 1 is 3.
Total cards = 5u + (15u/3 - 8/3)
Total cards = 5u + (15u - 8)/3
Total cards = 5u + (15u - 8)/3
Total cards = 5u + (7u)/3
Total cards = (5u * 3 + 7u)/3
Total cards = (15u + 7u)/3
Total cards = 22u/3
Now that we have the total number of game cards, we can find the average by dividing the total cards by the number of people (in this case, Emily and John).
Average = Total cards / Number of people
Average = (22u/3) / 2
Average = 22u/3 * 1/2
Average = 22u/6
Average = 11u/3
Therefore, the average number of game cards that Emily and John have in terms of u is 11u/3.