janyiareese12
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Old Granny Adams left half her money to her granddaughter and half that amount to her grandson. She left a sixth to her brother, and the remainder, $1,000, to the dogs’ home. How much did she leave altogether?

Respuesta :

joeamled

Answer:

Step-by-step explanation: 1/2 + 1/4 + 1/6 = 3/4 + 1/6 = 11/12 .

1/12 = 1000

1=1000*12

1=12000

Old Granny left $12000

Let the total amount given be x

Amount given to granddaughter = 1/2 × x = 0.5x

Amount of given to grandson = 1/2 × 0.5x = 0.25x

Amount given to brother = 1/6 × x = 0.167x

Amount given to dog's home = $1000

The amount left altogether will be:

0.5x + 0.25x + 0.167x + 1000 = x

0.917x + 1000 = x

Collect like terms

(x - 0.917x) = 1000

0.083x = 1000

x = 1000/0.083

x = 12048

x = $12000 approximately

In conclusion, Old Granny left $12000

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