Question

The value(in cents) of the change in a purse that contains twice as many nickles as pennies, four more dimes than nickels, and as many quarters as dimes and nickels combined. p=number of pennies
express the given quantity in terms of p

Answer 1

number of pennies = p
value of p pennies (in cents) = (p)(1) = p

"twice as many nickles as pennies"
number of nickles = 2p
value of 2p nickels = (2p)(5) = 10p

"four more dimes than nickels"
number of dimes = 2p + 4
value of 2p + 4 dimes (in cents) = (2p + 4)(10) = 20p + 40

"as many quarters as dimes and nickels combined"
number of quarters = (2p + 4) + (2p) = 4p + 4
value of 4p + 4 quarters (in cents) = (4p + 4)(25) = 100p + 100

Total value = (p) + (10p) + (20p + 40) + (100p + 100)
Total value = (131p + 140) cents

Answer 2

wow thank you

Answer 3

Do it one step at a time. It's easier than you think.
You're welcome.