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Ilya [14]
3 years ago
15

Karen and James both had 30 stocking stuffer items on their shopping list. After black Friday shopping Karen had finished 35% of

her shopping After black Friday shopping James had finished 60% of his shopping HOW MANY MORE items has James purchased than Karen?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer: 7.5 items

Step-by-step explanation:

Both Karen and James had 30 stocking items.

Karen bought 35% of her items;

= 35% * 30

= 10.5 items

James has bought 60%;

= 60% * 30

= 18 items

= 18 - 10.5

= 7.5 items

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Answer:

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Example:

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2 years ago
A and B working together can do a work in 6 days. If A takes 5 days less than B to finish the work, in how many days B alone can
svetlana [45]

Answer:

15 days

Step-by-step explanation:

Let x be the number of days needed for B to complete the job. Then x-5 is the number of days needed for A to complete the job.

In 1 day,

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Hence, in 1 day both A and B complete \dfrac{1}{x-5}+\dfrac{1}{x} of all work. A and B working together can do a work in 6 days. Then

6\cdot \left(\dfrac{1}{x-5}+\dfrac{1}{x}\right)=1.

Solve this equation:

\dfrac{6x+6x-30}{x(x-5)}=1,\\ \\12x-30=x^2-5x,\\ \\x^2-17x+30=0,\\ \\D=(-17)^2-4\cdot 30=289-120=169=13^2,\\ \\x_{1,2}=\dfrac{17\pm 13}{2}=2,\ 15.

If x=2, then x-5=-3 that is impossible. So, B needs 15 days to complete the work alone.

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3 years ago
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