Marcia bought a bag of red white and blue balloons for the party there were 49 balloons in the back if there are twice as many red as blue and half as many white as blue how many of each color are in the back

The number of balloons is:

Step-by-step explanation:

First, we establish the variables:

Now, we establish the equations with the information given in the exercise:

We replace the equation 2 in the equation 1:

In this moment, we replace the equation 3 in the las equation obtained:

We solve the variable W:

Now we know the number of white balloons is 7, we replace this value in the third equation to know the number of blue balloons:

In the end, we replace this last value in the second equation to calculate the number of red balloons:

In this forms, we know the number of balloons is: 28 red, 14 blue, and 7 white.

lol we need to see what the question is asking about

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺