Question

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!

Answer 1

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

Answer 2

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

$x+(1.5x)=45$

$2.5x=45$

$x=45/2.5=18\ sixth\ graders$