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Genrish500 [490]
3 years ago
9

A piggy bank contains the same number of quarters, nickels, and dimes. the coins total $4.40. how many of each type of coin does

the piggy bank contain?
Mathematics
2 answers:
Katarina [22]3 years ago
6 0

Answer: 11 of each type

Step-by-step explanation:

mestny [16]3 years ago
5 0
Let the number of each coin be n.

The total sum of these coins is $4.40. So we can write:

n Nickles + n Dimes + n Quarters = 4.40

0.05n + 0.10n + 0.25n = 4.40

0.40n = 4.40

n = 11

So this means, there are 11 coins of each type. 

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Step-by-step explanation:

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3 years ago
The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00
xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

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Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

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On the other hand, if the group wants to travel 10 miles then we have to y = 10.

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Thus, they could travel a maximum of 5 people.

ANswer:

2.50x + 0.75y \leq22

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

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Is there a picture?

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