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Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?

PLEASE SOLVE WITH FULL WORKING OUT!!

Respuesta :

  • Answer:

Amrita = 35 marbles

  • Step-by-step explanation:

Hi there !

all marbles = x

Carol = x/3

Lucy = x/4

but ! Carol has seven more marbles than Lucy !

⁴⁾x/3 = ³⁾x/4 + ¹²⁾7

4x = 3x + 84

4x - 3x = 84

x = 84 marbles

Carol = 84/3 = 28 marbles

Lucy = 84/4 = 21 marbles

Amrita = 84 - (28 + 21) = 84 - 49 = 35 marbles

Good luck !

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