Question

Carter has 37 coins, all nickels and dimes in the piggy bank. The value of the coins is $3.10. How many dimes does carter have?

Answer 1

so one equation can be made from the first sentence
and another equation can be made from the second sentence

let N= number of nickels
let D= number of dimes
you are given N+D is?

Answer 2

how many coins does carter have?

Answer 3

37 so do you put D+N=37?

Answer 4

yes because that is all he has is dimes and nickels

Answer 5

now a nickel is 5 cents or .05 dollars
and a dime is 10 cents or .10 dollars also can be read as .1 dollars

Answer 6

so we are given .05*N+.1*D=?

Answer 7

.05n+.1d=3.10

Answer 8

right
\[\text{ we have the following system \to solve } \\ N+D=37 \\ .05 N+.1D=3.1\]

Answer 9

if you don't like the decimal action in the second equation multiply both sides by 100
giving you 5N+10D=310

Answer 10

you could also divide both sides of that equation by 5 giving you
N+2D=310/5

Answer 11

310/5=62

Answer 12

you have the system is:
N+D=37
N+2D=62
surely this looks less ugly to solve

Answer 13

the question ask you to solve for the number of dimes aka what we called D

Answer 14

You could solve the first equation for N
and then replace the second equation's N with what you found from the first

Answer 15

ok i got it mow thanks for the help

Answer 16

meow

Answer 17

i mean np

Answer 18

sorry mow made me think of meow
i know you meant now though