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a middle school band has 45 sixth and seventh graders. The ratio of sixth graders to seventh graders is 2 to 3. How many sixth graders are in the band. Need to show work!

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yoloswaggs51

2 out of every 3 children are sixth graders
in order to solve this you have to find how many are sixth graders out of 45

45/3=15

15×2=30

30 out of 45 students are sixth graders

calculista

Answer:

\(18\ sixth\ graders\)

Step-by-step explanation:

Let

x-----> the number of sixth graders in the band

y----->  the number of seventh graders in the band

we know that

\(x+y=45\) -----> equation A

\(\frac{x}{y}=\frac{2}{3}\) ------> isolate the variable y

\(y=\frac{3}{2}x\) -----> equation B

Substitute equation B in equation A

\(x+(1.5x)=45\)

\(2.5x=45\)

\(x=45/2.5=18\ sixth\ graders\)

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