## Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out \frac{2}{3} of the chocola

Question

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

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6 days 2021-09-11T09:48:16+00:00 2 Answers 0

Rasheed bought 9 packages of chocolate bars

Step by step explanation:

Let x represent the number of packages of chocolate bars

and y represent the number of packages of toffee bars.

Rasheed handed out 2/3 × 2x of the chocolate bars

and

3/5 × 2y of the toffee bars.

Rasheed bought 1 fewer package of chocolate bars than toffee bars

=> x = y – 1 ………………………(1)

Rasheed handed out the same number of each kind of candy bar

=>2/3 × 2x = 3/5 × 2y

4x/3 = 6y/5

x = (3/4)(6y/5) = 9y/10……………….(2)

Using the value of x in (2) in (1)

9y/10 = y – 1

(1 – 9/10)y = 1

(1/10)y = 1

y = 10

Therefore, y is 10 and x is 9

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 of the cb and of tb; we have:  If we make tb the subject of the formula since we are only looking for the number of chocolate bars Rasheed bought; we have: From the previous expression cb = tb – 1

1 = tb – cb

Replacing in the above equation; we have:    cb = 9

Hence,Rasheed bought 9 packages of chocolate bars