Respuesta :
Answer:
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 [tex]\frac{2}{3}[/tex] of the cb and [tex]\frac{3}{5}[/tex] of tb; we have:
[tex]\frac{2}{3} *cb = \frac{3}{5}*tb[/tex]
[tex]10cb = 9tb[/tex]
If we make tb the subject of the formula since we are only looking for the number of chocolate bars Rasheed bought; we have:
[tex]tb=\frac{10}{9} cb[/tex]
From the previous expression cb = tb - 1
1 = tb - cb
Replacing [tex]tb=\frac{10}{9} cb[/tex] in the above equation; we have:
[tex]1= \frac{10cb}{9} -\frac{cb }{1}[/tex]
[tex]1 = \frac{1cb-9cb}{9}[/tex]
[tex]1 = \frac{1cb}{9}[/tex]
[tex]cb = 1*9[/tex]
cb = 9
Hence,Rasheed bought 9 packages of chocolate bars
Answer:
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
