Question

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

Answer 1

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.

Answer 2

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