1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sonbull [250]
3 years ago
10

A collection of dimes and nickels is worth $5.60. The ratio of dimes to nickels is 3:2. How many dimes and how many nickels are

there?
Mathematics
2 answers:
shutvik [7]3 years ago
4 0

Let

x------> the number of dimes

y-----> the number of nickels

we know that

1\ dime=\$0.10

1\ nickel=\$0.05

so

0.10x+0.05y=5.60 ------> equation A

\frac{x}{y} =\frac{3}{2}

x=1.5y -----> equation B

substitute equation B in equation A

0.10[1.5y]+0.05y=5.60

0.20y=5.60

y=28\ nickels

Find the value of x

x=1.5y

x=1.5*28=42\ dimes

therefore

<u>the answer is</u>

the number of dimes is 42

the number of nickels is 28

PolarNik [594]3 years ago
3 0
Now, the nickels and dimes are at ratio of 3:2.  However, the total amount is in dollars.  So let's convert all amounts to pennies then.

$5.60 is just 560 pennies

3 dimes is just 30 pennies

2 nickels is just 10 pennies

so, the ratio from dimes to nickels is a ratio of 30:10 pennies, or 3:1 then, for a total amount of 560 pennies.

\bf \cfrac{dimes}{nickels}\qquad 3:2\qquad\cfrac{\stackrel{pennies}{30}}{\stackrel{pennies}{10}}\implies \cfrac{30}{10}\implies \cfrac{3}{1}\implies 3:1~ratio&#10;\\\\\\&#10;\cfrac{\stackrel{dimes}{pennies}}{\stackrel{nickels}{pennies}}\qquad 3:1\qquad \cfrac{3}{1}\implies \cfrac{3\cdot \frac{560}{3+1}}{1\cdot \frac{560}{3+1}}\implies \cfrac{3\cdot 140}{1\cdot 140}\implies \cfrac{420}{140}\\\\&#10;-------------------------------

\bf \textit{now, how many dimes in 420 pennies?}\quad \cfrac{420}{10}\implies 42~dimes&#10;\\\\\\&#10;\textit{and how many nickels in 140 pennies?}\quad \cfrac{140}{5}\implies 28~nickels\\\\&#10;-------------------------------\\\\&#10;42~dimes + 28~nickels\implies \$5.60
You might be interested in
A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to
Rashid [163]

Answer:

milk to oil - correctly shows ratio 3:1

7 0
3 years ago
Read 2 more answers
What is -6x+9+4x-9 equal too
matrenka [14]
Collect like terms
-2x is the answer
5 0
3 years ago
Read 2 more answers
Please help me with this
damaskus [11]

this is the answer y=−1/2x+45/2


3 0
2 years ago
The population of city is 2500 if the number of males is 240 more than females how many males and females are there in the city?
Blizzard [7]
There are 1130 females. There are 1370 males. What I did was take 2500 and subtracted 240 from it. I got 2260 and then divided that number by 2 and got the number of females. Then I took that number and added 240 to it and got the number of males.
5 0
3 years ago
mike had $572.18 in his checking account. after writing a check, he had $434.68. which of the following equations could be used
Vitek1552 [10]

<u><em>$572.18 - $434.68 = $137.5, therefore $137.5 is the amount of the check.</em></u>

6 0
3 years ago
Other questions:
  • Order of Operations
    15·2 answers
  • The ratio of boy campers to the number of girl campers is 8:7.  If there are a total of 195 children, how many are boys and how
    6·1 answer
  • Lissette 's age is 3 years less than twice the age of her sister Francesca. Lissette is 13. Write an equation that can be used t
    12·2 answers
  • Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of Earth from the Sun is 1.5 ⋅ 108 kilometers. Abou
    12·1 answer
  • Simplify 2x + x<br> a) 2x^2<br> b) 3x<br> c) 3x^2
    8·2 answers
  • What is 3 2/3 divided by 2 1/6
    14·1 answer
  • Complete the equation for h(x).<br>h(x) =​
    9·1 answer
  • Integrate x<br><img src="https://tex.z-dn.net/?f=x4" id="TexFormula1" title="x4" alt="x4" align="absmiddle" class="latex-formula
    11·1 answer
  • I need Answer pls plz pls pls
    10·1 answer
  • What is the length of the diagonal of the rectangle?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!