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Josiah scored 63 points by collecting 3 coins. After collecting a total of 4 coins, how many points will Josiah have scored in all?

User Suganya
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1 Answer

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Answer: 84 points

Step-by-step explanation:

There are two ways I see that you can solve this.
In the first method, we can find the points per coin. To do this, we divide 63/3 and we get 21.

63/3=21

Now we know that in 1 coin, there is 21 points.

1 coin=21 points
Next, since we have to find the total amount of points in 4 coins. We multiply 21 by 4.

21*4=84 points

We do this because in 1 coin there is 21 points, and there is not 21 points in 4 coins. So when we multiply 21 and 4, we get 84 points, and 84 points is our answer.

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Another way you could do this would be to use cross multiplication. In cross multiplication, we would set up our work like this:

63/3=x/4 or in ratio way 3 : 63 = 4 : x

When you look at the ratio formation, you can easily tell that it says 3 to 63 is the same as 4 is to x. This can be written in the fraction formation, making it able for us to cross multiply. When we write it the fraction way, we write

63 x

____ = ____

3 4


With this, we do what the name says, we cross the numbers over and multiply, so we do 63*4=3*x
This way can be harder we have bigger numbers, but we can always simplify before multiplying, like in this case-
We can divide the 3 from both sides

63 * 4

_____ = x

3

From this we can simplify the 63 and 3, and so we would cancel out the 3 and would be left with 21*4=x
And this is the same equation we ended up with before.
So when we solve, we get 84=x and so the amount of points Josiah will have is 84 points.

User Dan Beam
by
9.2k points

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