1.

A bag contains 128 marbles. Some are red and the rest are black. There are 15 red marbles for every black marble. How many red marbles are in the bag?

Answer»

Step-by-step EXPLANATION:

There are 114 red MARBLES in the bag.

Explanation:

LET x = Number of red marbles .

y= Number of black marbles

Given : A bag contains 120 marbles.

i.e. x+y=120x+y=120 (1)

There are 19 red marbles every for black marble.

x=19yx=19y (2)

Put value of x in (1) , we get

19y+y=12019y+y=120

20y=12020y=120

y=\dfrac{120}{20}=6y=

20

120

=6

Put y= 6 in (2) , we get

x=19(6)=114x=19(6)=114

Hence, there are 114 red marbles in the bag.


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