Halp i am a dumb middle !
lily has $2.75 in her pocket, consisting of dimes and quarters. if there are 17 coins in all, how many of each does she have?

The number of dimes is 10

The number of quarters is 7

Step-by-step explanation:

Lily has a currency worth $ 2.75 . According to the question it consist of dimes and quarters. There are 17 coins in number this include both dimes and quarters.

let the number of dime = a

let the number of quarter = b

The total number can be computed as

a + b = 17(i)

The total worth can be computed as follows :

1 dime = $0.10

1 quarter = $ 0.25

Total worth is

a × 0.10 + b × 0.25 = 2.75

0.1a + 0.25b = 2.75 (ii)

a + b = 17(i)

0.1a + 0.25b = 2.75(ii)

a = 17 - b

insert a = 17 - b in equation(ii)

0.1(17 - b) + 0.25(b) = 2.75

1.7  - 0.1b + 0.25b = 2.75

0.15b = 2.75 - 1.7

0.15b = 1.05

b = 1.05/0.15

b = 7

insert b=7 in equation(i)

a + b = 17

a + 7 = 17

a = 17 - 7

a = 10

The number of dimes is 10

The number of quarters is 7

d is the answer

step-by-step explanation: