Frank finds 9 coins on the floor of his car, and 3 of them are quarters. If he finds 15 more coins on the ground, at the same ratio as the coins found in the car, how many more coins will most likely be quarters?

Respuesta :

5,
3 is 1/3 of 9, meaning the probability of picking up a quarter is 1/3, if he finds 15 more,
15/3 is 5.

5 coins should be quarters

Answer: 5 coins

Step-by-step explanation:

Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or [tex]\frac{3}{9}[/tex], were quarters.

Simplifying this fraction, we get [tex]\frac{1}{3}[/tex] of the coins found in the car were quarters.

If Frank finds 15 more coins on the ground at the same ratio, then [tex]\bold{\frac{1}{3}}[/tex] of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find [tex]\bold{\frac{1}{3}}[/tex] of 15:

[tex]\large \frac{1}{3} \times 15 = 5[/tex]

Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.

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