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Rayad has twice as many goldfish as Anna. After Rayad gives Anna 5 goldfish, Rayad and Anna each have the same number of goldfish. How man goldfish did Rayad have originally?

Sagot :

Answer:

Rayad originally had 20 fish.

Step-by-step explanation:

Solving the Problem

Understanding the World Problem

We're told that Rayad has twice as many fish as Anna, we can represent their number of fish as

                                    Anna: a fishes

                                   Rayad: 2a fishes.

We're then told that Rayad gives 5 to Anna, meaning he loses 5 and Anna gains 5.

                                 Anna: a + 5 fishes

                               Rayad: 2a - 5 fishes

Lastly, we're told that after the exchange, they both have the same amount of fish, meaning their quantities are equal.

                                     Anna = Rayad

                                      a + 5 = 2a - 5

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Solving the Question

We need to find how many fishes Rayad had originally (2a).

So, we solve for a and plug it into the expression 2a.

             

                                  a + 5 + 5 = 2a                (add 5 both sides)

                                   a + 10 = 2a                            (simplify)

                                      10 = 2a - a             (subtract a both sides)

                                       10 = a                               (simplify)

                     Rayad = 2a = 2(10) = 20 fishes

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