Mathematics: Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out rac{2}{3} of the chocolate bars and rac{3}{5} of the toffee bars. How many packages of chocolate bars did Rasheed buy?

1/125. 1/8=1/2*2*21/27=1/3*3*31/64=1/4*4*41/125=1/5*5*5...

Rasheed bought two kinds of candy bars, chocolate

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21.01.2022

Rasheed bought 9 packages of chocolate bars

Step-by-step explanation:

Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each.

Let 'cb' represent the number of chocolate bars that Rasheed bought

Let 'tb' represent the number of toffee bars that Rasheed bought

If Rasheed bought 1 fewer package of chocolate bars than toffee bars; we have the following suitable expression

cb = tb - 1

Also; he handed out $\frac{2}{3}$ of the cb and $\frac{3}{5}$ of tb; we have:

$\frac{2}{3} *cb = \frac{3}{5}*tb$

10cb = 9tb

If we make tb the subject of the formula since we are only looking for the number of chocolate bars Rasheed bought; we have:

$tb=\frac{10}{9} cb$

From the previous expression cb = tb - 1

1 = tb - cb

Replacing $tb=\frac{10}{9} cb$ in the above equation; we have:

$1= \frac{10cb}{9} -\frac{cb }{1}$

$1 = \frac{1cb-9cb}{9}$

$1 = \frac{1cb}{9}$

cb = 1*9

cb = 9

Hence,Rasheed bought 9 packages of chocolate bars

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