Ms. kincaid keeps a supply of dimes and quarters in her car to pay for highway tolls. a week’s supply of toll coins contains 5 more dimes than quarters and totals $4.00. how many quarters does ms. kincaid spend on highway tolls in one weeka. 10b.15c.16d.40

(A) 10

Step-by-step explanation:

                Value       Quantity     =  TOTAL Value

dimes:        .10            Q + 5        =    .10(Q = 5)

quarters:    .25               Q           =      .25Q

Dimes + Quarters = $4.00

.10(Q + 5) + .25Q = 4.00

.10Q + .50 + .25Q = 4.00

           .50 + .35Q = 4.00

                    .35Q = 3.50

                          Q = 10

Quarters = 10

Dimes = Q + 5

           = 10 + 5

           = 15

Option A, she has 10 quarters.

Step-by-step explanation:

We have quarters of $0.25 and dimes of $0.10

We have 5 more dimes than quarters and a total of $4.00

How many quarters Ms. Kincaid has?

Q is the number of quarters and D the number of dimes.

We have the system of equations:

D = Q + 5

Q*$0.25 + D*$0.10 = $4.00

First, we can replace the first equation into the second and solve it for Q.

Q*$0.25 + (5 + Q)*$0.10 = $4.00

Q*($0.25 + $0.10) + $0.50 = Q*($0.35) + $0.50  = $4.00

Q = (4.00 - 0.50)/0.35 = 3.50/0.35 = 10

So she has 10 quarters.

The correct option is A.

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.