Respuesta :
Answer:
[tex]\frac{51}{46}[/tex]
Step-by-step explanation:
Number of boys = B
Number of girls = G
Ratio of the number of boys to the number of girls in Ms. Zombo’s class = [tex]\frac{3}{4}[/tex]
[tex]\frac{B}{G}=\frac{3}{4}\\\Rightarrow B=G\frac{3}{4}[/tex]
[tex]B+G=49\\\Rightarrow G\frac{3}{4}+G=49\\\Rightarrow G\frac{7}{4}=49\\\Rightarrow G=28[/tex]
[tex]B=G\frac{3}{4}\\\Rightarrow B=28\frac{3}{4}\\\Rightarrow B=21[/tex]
Ratio of the number of boys to the number of girls in Mr. Stolarski’s class = [tex]\frac{5}{3}[/tex]
[tex]\frac{B}{G}=\frac{5}{3}\\\Rightarrow B=G\frac{5}{3}[/tex]
[tex]B+G=48\\\Rightarrow G\frac{5}{3}+G=48\\\Rightarrow G\frac{8}{3}=49\\\Rightarrow G=18[/tex]
[tex]B=G\frac{8}{3}\\\Rightarrow B=18\frac{5}{3}\\\Rightarrow B=30[/tex]
Total number of boys in combined class = 21+30 = 51
Total number of girls in combined class = 28+18 = 46
∴ Ratio of the number of boys to girls in the combined classes is [tex]\mathbf{\frac{51}{46}}[/tex]
