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Word Problems/Maths Problem Sum


Dear Sir, Please help this problem sum,

Amanda, Brinda and Dayang share 9z packets of beads. Amanda gets z packets more than Brinda. Dayang gets 6 packets more than Brinda.
(a) how many packets does Brinda get in terms of z?
(b) if amanda gets 3 packets more than brinda, how many packets does brinda get?

The total number of beads looks to be 9z.
Brenda gets x beads, Amanda get x+z beads, and Dayang gets x+6 beads.

Since they get all 9z beads, this means that x + x+z  + x+6 = 9z.
That reduces to 3x + 6 = 8z.

This can be changed to x = (8z-6)/3, and that's how many beads Brinda gets,
so this is the answer to (a).

To answer (b), it can be said that x+z = x+3, so subtracting x from both sides gives z = 3.

If we took z=3, then we'd get x=6.

This is how many packets Brinda got, so that's the answer to (b).  

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Scott A Wilson


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