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dem82 [27]
3 years ago
13

Six less than the product of a number n and 1/5 is no more than 99

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Answer:

(n * ⅕) - 6 ≤ 99

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

(n * ⅕) - 6 ≤ 99

Opening the bracket, we have;

n/5 - 6 ≤ 99

Rearranging the equation, we have;

n/5 ≤ 99 + 6

n/5 ≤ 105

Multiplying both sides by 5, we have;

5 * n/5 ≤ 105 * 5

n ≤ 525

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we know there are 56 coins in the jar, thus whatever "p" and "n" are,

p + n = 56

we also know, the total value of all pennies and nickels is one buck and 52 cents, or 1.52.. that's 152 pennies.

now, we know there are 5 pennies in one nickel, so in "n" nickels, there are 5*n pennies, or 5n, thus

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\bf \begin{cases}
p+n=56\implies \boxed{n}=56-p\\
p+5n=152\\
----------\\
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\end{cases}

solve for "p", to see how many penny coins are there.

what about the nickels? well, n = 56 - p.
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