There are 42 people in the clas. 3/4 of the boys and 2/3 of the girls travel to school by bus. the total number of biys and girls who travle by bus is 30. How many boys are there in clas? how many girls travel to scool y bus?

24; 12

Step-by-step explanation:

We can set up a system of equations here.

First we can name the number of boys x,

and the number of girls y.

Now we can set up our equations.

x+y=42

and

3/4x+2/3y=30

Now we can set it up for substitution.

x=42-y

We got that by subtracting y from both sides to the first equation

Now we can substitute 42-y in for x in the second equation.

3/4(42-y)+2/3y=30

Distribute.

31.5-3/4y+2/3y=30

Get a common denominator.

31.5-9/12y+8/12y=30

Combine like terms.

31.5-1/12y=30

Subtract 31.5 from both sides.

-1/12y=-1.5

Multiply both sides by -12

y=18

Now we plug that back in.

x+18=42

Subtract 18 from both sides.

x=24

There are 24 boys in the class.

Now 2/3 of girls use the school bus and the total number of girls is 18.

18*2/3=12

12 girls use the school bus.

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2