In money and weighing things
Answer:
$1.65
Step-by-step explanation:
The total purchase can be described by ...
4(2h +1.25) = 18.20 . . . . where h is the price of a hot dog
8h = 13.20 . . . . . . . . . . . subtract 5.00
h = 1.65 . . . . . divide by 8
The price of a hot dog was $1.65.
Let the total sum of the scores of the first class of 35 students be
a. The mean is 74.3
.
So

Also, let the total sum of the scores of the second class of 28 students be
b. The mean is 67.6 .
so

The combined group has 35+28=63 students. The sum of their scores is
a+b=2600.5+1892.8=4493.3
Thus, the mean of the combined group is

Let number of yellow marbles = x
Let number of red marbles = y
Let number of blue marbles = z
Given that Finley has 152 yellow, red, and blue marbles in a bag.
So we get equation:
x+y+z=152...(i)
"He has seven more red marbles than yellow marbles" means:
y=x+7...(ii)
"three times as many blue marbles as yellow marbles." means:
z=3x...(iii)
Now we just need to solve those equations to find the answer.
Plug (ii) and (iii) into (i)
x+(x+7)+(3x)=152
x+x+7+3x=152
Which looks similar to choice (B)
5x+7=152
5x=145
x=29
Hence final answer is choice B.
Required equation is
x+x+7+3x=152
Number of yellow marbles = 29