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1 month ago

John bought 24 pens and pencils. There were 6 more pens than pencils. How many pens were bought by John?

1 answer:

7 0

Let x denote the number of pens and y represent the pencils. From the information given, we have x + y = 24, indicating there are 24 pens and pencils combined. Additionally, the equation x = y + 6 has been established, as there are 6 more pens than pencils. We can substitute the second expression into the first: x + y = 24, so (y + 6) + y = 24. When we consolidate the terms, we have 2y + 6 = 24. By rearranging, we find 2y = 18, leading to y = 9. This means there are 9 pencils; thus, there are 6 more pens than that, which gives us 15 pens. Therefore, John purchased 15 pens and 9 pencils.

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3 months ago

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Answer: To remove fractions prior to solving, each term in the equation must be multiplied by $4$ .

Step-by-step explanation:

Consider the given expression:

$-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m$

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Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.

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2 months ago

The 200 students in a school band will attend awards dinner. A random survey of 25 of these students was conducted to determine

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Detailed breakdown:

For beef, we calculate 12 * 8 (since 25 * 8 gives 200)

Thus, beef totals = 96

For chicken, we find 8 * 8 (again, because 25 * 8 equals 200)

Hence, chicken totals = 64

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1 month ago

answer to three friends each create 4 bags of starter bread dough. after ten days, each of those four bags is then divided into

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The solution is 20 days, found as follows:
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48 × 4 = 192 bags
Adding the periods: 10 days + 10 days = 20 days
Therefore, 192 bags are created after 20 days.

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3 months ago