Answered

Get the most out of your questions with the extensive resources available on IDNLearn.com. Discover detailed answers to your questions with our extensive database of expert knowledge.

There are 48 students in a school play. The ratio of boys to girls is 5:7. How many boys are in the school play? Explain how you found your answer

Sagot :

Ryan2idn
boys:  x
gilrs:   y

From the text of the task:

[tex] \left \{ {{\frac{x}{y}=\frac{5}{7}} \atop {x+y=48 \rightarrow x=48-y}} \right. [/tex]

Replacing x:

[tex]\frac{48-y}{y}=\frac{5}{7}\\ \\ 7(48-y)=5y\\ \\ 336-7y=5y\\ \\ 12y=336\\ \\ y=\frac{336}{12}=28[/tex]

So there are 28 girs and 20 boys
AL2006idn
Did you say that the ratio of boys to girls is 5 to 7 ?

Well, then we know that 5 'groups' in the cast are boys, and 7 'groups' are girls.
So all together, there are 12 'groups' of students in the play, although we don't know
how many a 'group' is.

But wait a second.  You said there are 48 all together.  So each 'group' must be
48/12 = 4 students.

5 'groups' of boys = 20 boys
7 'groups' of girls = 28 girls

Check:

-- The ratio of 20 to 28 is 5 to 7 .  OK

-- 20 + 28 = 48 all together. OK

It all checks out.
yay
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.