Respuesta :
Answer:
6:5 that is 6 nickels to 5 dimes.
Step-by-step explanation:
We have been given that in a pot worth $2.35, there are 6 quarters, 5 dimes, 5 pennies, and the rest of the coins are nickels.
We know that value of each quarter is [tex]\$0.25[/tex], so value of 6 quarters would be [tex]\$0.25\times 6=\$1.50[/tex].
We know that value of each dime is [tex]\$0.10[/tex], so value of 5 dimes would be [tex]\$0.10\times 5=\$0.50[/tex].
The value of each penny is [tex]\$0.01[/tex], so the value of 5 pennies would be [tex]\$0.01\times 5=\$0.05[/tex].
Let us find the value of 6 quarters, 5 dimes, 5 pennies as:
[tex]\$1.50+\$0.50+\$0.05=\$2.05[/tex]
Now, we will find the value of nickels by subtracting value of other coins from total value of all coins.
[tex]\text{Value of nickels}=\$2.35-\$2.05[/tex]
[tex]\text{Value of nickels}=\$0.30[/tex]
We know that value of each nickel is $0.05. Now, we will divide $0.30 by $0.05 to find number of nickel coins as:
[tex]\text{Number of nickel coins}=\frac{\$0.30}{\$0.05}[/tex]
[tex]\text{Number of nickel coins}=6[/tex]
Since there are 6 nickels and 5 dimes, therefore, our required ratio would be [tex]6:5[/tex] that is 6 nickels to 5 dimes.
Answer:
6:5
Step-by-step explanation:
It is given that a pot worth $2.35 and there are 6 quarters, 5 dimes, 5 pennies, the rest of the coins are nickels.
We know that
$1 = 100 cents
1 penny = 1 cent = $0.01
1 nickel = 5 cents. = $0.05
1 dime = 10 cents. = $0.10
1 quarter = 25 cents = $0.25
The value of 6 quarters is
[tex]6\times 0.25=1.50[/tex]
The value of 5 dimes is
[tex]5\times 0.10=0.50[/tex]
The value of 5 pennies is
[tex]5\times 0.01=0.05[/tex]
Let x be the number of nickels. So, the value of x nickels is
[tex]x\times 0.05=0.05x[/tex]
Total value of 6 quarters, 5 dimes, 5 pennies, and x nickels is
[tex]Total =1.50+0.50+0.05+0.05x[/tex]
[tex]Total =2.05+0.05x[/tex]
It is given that the pot worth is $2.35.
[tex]2.05+0.05x=2.35[/tex]
Subtract 2.05 from both sides.
[tex]0.05x=0.30[/tex]
Divide both sides by 0.05.
[tex]x=6[/tex]
The number of nickels is 5.
[tex]\dfrac{Nickel}{Dimes}=\dfrac{6}{5}=6:5[/tex]
Therefore, the ratio of nickels to dimes is 6:5.
