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pshichka [43]
2 years ago
8

Bag A contains 5x coins.

Mathematics
1 answer:
weqwewe [10]2 years ago
6 0

Answer:

given ,

number of coins in bag A = 5x

number of coins in bag B = 3x

_____________________________________

According to Question ,

8 coins are taken from Bag B and put into Bag A

The ratio of coins in Bag A to Bag B is now 11 : 5

therefore ,

\frac{5x + 8}{3x - 8}  =  \frac{11}{5}  \\  \\ 5(5x + 8) = 11(3x - 8) \\  \\ 25x + 40 = 33x - 88 \\  \\ 33x - 25x = 40 + 88 \\  \\ 8x = 128 \\  \\ x =  \cancel\frac{128}{8}  \\  \\ \fbox{x =16}

now ,

no. \: of \: coins \: in \: bag \: A = 5x \\ \dashrightarrow{5 \times 16 = 80 \: coins}

number \: of \: coins \: in \: bag \: B = 3x \\ \dashrightarrow{3 \times 16 = 48 \: coins}

total \: number \: of \:coins = 80 + 48 \\  \dashrightarrow{ 128 \: coins}

hope helpful :D

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