Question

. Frankie has $2.75 in coins, all in dimes and nickels. The total number of coinsis 35. If he has d dimes and n nickels, which system models the situation?A)d+n=3510d+5n=2.75B)d+n=2.7510d+5n=35C)d+n=2.755d+10n=35D)d+n=3510d+5n=275

Answer 1

Answer:

d + n = 35

10d + 25n = 275

Step-by-step explanation:

Note that:

1 dime = $0.1

1 quarter = $0.25

Let the number of dimes be d

Let the number of quarters be n

Frankie has $2.75

0.1d + 0.25n = 2.75

Multiply through by 100

10d + 25n = 275...................(1)

Total number of coins is 35

d + n = 35

Therefore, the system of equations that models the situation is:

d + n = 35

10d + 25n = 275