gozers007
contestada

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!

Respuesta :

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:

[tex]18\ sixth\ graders[/tex]

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

[tex]x+y=45[/tex] -----> equation A

[tex]\frac{x}{y}=\frac{2}{3}[/tex] ------> isolate the variable y

[tex]y=\frac{3}{2}x[/tex] -----> equation B

Substitute equation B in equation A

[tex]x+(1.5x)=45[/tex]

[tex]2.5x=45[/tex]

[tex]x=45/2.5=18\ sixth\ graders[/tex]

Otras preguntas