cyrusshakeri123
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When their report cards came back, Pete, Chris, and Dina realized that they shared the number of A’s in the ratio 4:2:5. If Pete got 14 more A’s than Chris, how many A’s did Dina get?

Respuesta :

Izuku0909

Answer:

Dina got 35 As

Step-by-step explanation:

Lets organize it into a table to make it easier to solve.

Let Chris's Aas be [tex]x[/tex]

Pete:Chris:Dina

4     :  2    : 5

x+14 :  x  : y

4 ratio units = x+14

2 ratio units = x

x = 14

One ratio unit = 7.

Now we can plug in the equation. 7 · 5 = 35

Dina has 35 As

rohiraakshay4

Dina got 35 A's in her report card. Pete got 28 A's which is 14 more than Chris and Chris got 14 A's.

Ratio:

If three numbers a, b and c are in ratio then a:b:c and if the ratio in between will x then each number be

ax, bx and cx

Here we have given ratio of A's on report card

Pete  : Chris : Dina = 4 : 2 : 5

let the ratio in between is x then

Number of A's of Pete = 4x

Number of A's of Chris = 2x

Number of A's of Dina = 5x

Also we have given that

Number of A's of Pete = 14  + Number of A's of Chris

4x = 2x + 14

How to find solution of the ratio?

Subtract 2x from both the sides we have

2x = 14

Divide both the sides by 2

x = 7

Therefore the number of A's of

Pete = 4x7 = 28

Chris = 2x7 = 14

Dina = 5x7 = 35

Hence the final answer is 35.

Learn more about ratio here-

https://brainly.com/question/2328454

#SPJ2

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