## anonymous one year ago 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?

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1. freckles

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?

2. freckles

how many coins does carter have?

3. anonymous

37 so do you put D+N=37?

4. freckles

yes because that is all he has is dimes and nickels

5. freckles

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

6. freckles

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

7. anonymous

.05n+.1d=3.10

8. freckles

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

9. freckles

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

10. freckles

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

11. freckles

310/5=62

12. freckles

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

13. freckles

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

14. freckles

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

15. anonymous

ok i got it mow thanks for the help

16. freckles

meow

17. freckles

i mean np

18. freckles

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