Question

A bag contains 120 marbles some are red the rest are black.There are 19 red for every black marble.How many red marbles are in the bag

Answer 1

Answer:

118 red marbles

Step-by-step explanation:

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Answer 2

Given:-

• A bag contains 120 marbles.
• Some are red the rest are black

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To find:-

• Red marbles are in the bag?

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Solution:-

Let the number of red marbles be x.

Let the number of black marble be y.

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★ It is given that so there are total 120 marbles.

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Therefore,

$\large{\tt{\longmapsto{x + y = 120}}}$⠀⠀⠀......(i)

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★ It is also given that there are 19 red marbles for every black marble.

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$\large{\tt{\longmapsto{x = 19y}}}$⠀⠀⠀.......(ii)

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※ Putting the value of x in the eq. (i)

$\large{\tt{\longmapsto{19y + y = 120}}}$

$\large{\tt{\longmapsto{20y = 120}}}$

$\large{\tt{\longmapsto{y = \dfrac{120}{20}}}}$

$\large{\tt{\longmapsto{y = 6}}}$

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※ Putting the value of y in eq. (ii)

$\large{\tt{\longmapsto{x = 19 \times 6}}}$

$\boxed{\large{\tt{\longmapsto{\red{x = 114}}}}}$

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Hence, the number of red marbles in the bag is 114.

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