Diana has $2.00 in dimes and nickels. She has a total of 26 coins. How many of each kind does she have?

Mathematics

1 answer:

Alexus [3.1K]2 years ago

4 0

Answer:

Diana has 14 dimes and 12 nickels

Step-by-step explanation:

Create a system of equations, where d is the number of dimes and n is the number of nickels:

d + n = 26

0.1d + 0.05n = 2

Solve by elimination by multiplying the top equation by -0.1:

-0.1d - 0.1n = -2.6

0.1d + 0.05n = 2

Add these together, then solve for n:

-0.05n = -0.6

n = 12

So, she has 12 nickels. To find the number of dimes, subtract 12 from 26, since there were 26 coins in total and we found that she had 12 nickels.

26 - 12

= 14

So, Diana has 14 dimes and 12 nickels

You might be interested in

Evaluate x + y when x = -94 and y = 24 A: -118 B: -70 C: 70 D: 118

malfutka [58]

It’s b because 94 is negative so that means you have to subtract to get -70

8 0

3 years ago

Read 2 more answers

Which of the following are solutions to the inequality -7x+14>-3x-6? Select all that apply.

JulijaS [17]

-7x+14>-3x-6

add 7x to each side

14> 4x-6

add 6 to each side

20>4x

divide by 4

5>x

x<5

solutions

3,0,-3,-5,-10

6 0

2 years ago

Read 2 more answers

The pie chart shows information about voters in an election. 2800 more women vote than men. Work out the total number of voters.

Dmitry [639]

The picture in the attached figure

let
x--------> men voters
y-------> women voters

we know that
y=x+2800------> y-x=2800------> equation 1

step 1
find the percentage of women and men voters
in the graph
central angle by men voters=130°
central angle by women voters=(360°-130°)-------> 230°
by using proportion
men voters
$\frac{360}{100} = \frac{130}{M} \\ M=(100*130)/360 \\ M=36.11$ %

women voters
$\frac{360}{100} = \frac{230}{F} \\ F=(100*230)/360 \\ F=63.89$ %

remember equation 1
y-x=2800
so
F-M=63.89%-36.11%----> 27.78%

if 27.78% correspond to 2800 voters
100%---------------------->T
T=100*2800/27.78-------> T=10,079.19 voters

the answer is
about 10,079 voters