Question

HELP ASAP !!

Suppose you have a total of $2.25 in dimes and
nickels. You have twice as many dimes, as nickels.
Which system of
equations could be used to
determine how many of each coin you have?

Answer 1

Explanation:

total money = $2.25 = 225 cents

types of denomination in coins or cents are dimes and nickels

dime = 10 cents , nickel = 5 cents

twice of dimes to nickels

let no of dimes = x and no of nickels = y

our equation

10x + 5y = 225

x = 2y

10(2y) + 5y = 225

20y +5y = 225

25 y = 225

y=9

x =2y 2x9 = 18

so the number of dimes = 18 and nickels = 9

cross verification:

10x18 + 5x9 = 180 +45 = 225