Rina has a total of 1284 red and yellow rubber bands. She has 828 fewer red rubber bands than yellow rubber bands. She packs all the red rubber bands equally into red paper bags and packs all the yellow rubber bands into yellow paper bags. There are four times as many yellow paper bags as red paper bags. Each yellow paper bag contains 6 more rubber bands than each red paper bag.

(a)
How many yellow rubber bands does Rina have?

Ans: (a) ___
(b)
How many bags of red rubber bands does Rina have?

Ans: (b) ___
(c)
How many rubber bands are there in each yellow bag?

Ans: (c) ___

Mixed operations with integers Letters represent numbers 中文

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Worked solution

16(a)

1. Find the number of yellow rubber bands using the sum and difference method

Let $Y$ be the number of yellow rubber bands and $R$ be the number of red rubber bands.
We know:
$Y + R = 1284$
$Y - R = 828$
Adding the two equations gives:
$2Y = 1284 + 828 = 2112$
$Y = 2112 \div 2 = 1056$

Answer

$1056$

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Worked solution

16(a)

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