Vance has 3 more than twice as many nickels than dimes. If he has $2.75, how many nickels does he have?

Number of nickles=n

number of dimes=d

vance hase 3 more than 2 times niicles than dimes

n=2d+3

each nickle is worth 5 cents and each dime is worth 10 cents so

total worth=10d+5n cents

we have the sentances

10d+5n=275 and

n=2d+3

subsitute 2d+3 for n

5 (2d+3) + 10d=275

distribute

10d+15+10d=2.75

add like terms

20d+15=275

subtract 15 from both sides

20d=260

divdie both sides by 20

d=13

subsitute

2d+3=n

2 (13) + 3=n

26+3=n

29=n

the answe ris 13 dimes and 29 nickles

275-15=260

260/2=130

130/10=13

so 13 dimes and 29 nickels

My total is 275. Three nickels equal 15, so i remove it from the total, which makes it 260. 260 divided by two since you have twice as many nickels. 130. A dime has a value of 10, so 130/10, which equals 13. My ammount of nickels is twice the dimes (13) plus 3. 29 nickels.