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Answer to Q113

There are 50 dogs signed up for a competition. However, there are 36 more small dogs than large dogs signed to compete.

How many small dogs were signed up?

Let large dogs be L,
Let small dogs be S,

There are 50 dogs signed up for a competition
L + S = 50 (eqn 1)

However, there are 36 more small dogs than large dogs
S = L + 36 (eqn 2)

put eqn 2 into eqn 1
L + L + 36 = 50
2L = 50 - 36
2L = 14
L = 7

But the question was, How many small dogs were signed up?

put L = 7 into eqn 2
S = 7 + 36
S = 43

There are 43 small dogs and 7 large dogs

Answer: 43

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831 viewsDec 15, 2020 at 16:50

Answer to Q113

There are 50 dogs signed up for a competition. However, there are 36 more small dogs than large dogs signed to compete.

How many small dogs were signed up?

Let large dogs be L,
Let small dogs be S,

There are 50 dogs signed up for a competition
L + S = 50 (eqn 1)

However, there are 36 more small dogs than large dogs
S = L + 36 (eqn 2)

put eqn 2 into eqn 1
L + L + 36 = 50
2L = 50 - 36
2L = 14
L = 7

But the question was, How many small dogs were signed up?

put L = 7 into eqn 2
S = 7 + 36
S = 43

There are 43 small dogs and 7 large dogs

Answer: 43

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