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bixtya [17]
3 years ago
13

An eccentric baseball card collector wants to distribute her collection among her descendants. If she divided her cards among he

r 17 great-great-grandchildren, there would be 3 cards left over. If she divided her cards among her 16 great-grandchildren, there would be 10 cards left over. If she divided her cards among her 11 grandchildren, there would be 4 cards left over. If she divided her cards among her 7 children, there would be no cards left over.
What is the smallest possible number of cards in her collection?
Mathematics
1 answer:
Strike441 [17]3 years ago
6 0
If we let x as the total number of baseball cards
and yn be the quotient per operation, then

x/17 = y1 + 3

x/16 = y2 + 10

x/11 = y3 + 4

x/7 = y4

Based on Equation 1, x must be greater than 17
Based on Equation 4, x must be divisible by 7
y1, y2, and y3 must all be whole numbers
The smallest possible number of cards is 70
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A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If
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Answer:

28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

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Total Strands = 80

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Red Strands = 40%

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Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

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Answer:

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