Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting
represent the number of hot dogs and
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.

The Farley family bought 3 hot dogs and 4 juices for $9.15.

Now, we subtract these equations.

Since
has reversed coefficients, it gets eliminated. Now solve for x.



NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.




= 1.65
= 1.05
represents hotdogs and
represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>
Answer: The average was 9 years old find the average age of both groups is 10 years old.
Step-by-step explanation:
Formula foe average : 
Given : The first group of students consists of 10 and their average age was 13 years old.
i.e.
(1)
The next group consisted of 30 students and their average was 9 years old.
i.e.
(2)
Then from (1) and (2) , the sum of both groups (first group and next group )students = 130+270 =400
Combined students of both groups (first and next group )= 10+30=40
Now , the average of both groups =

Hence, the average was 9 years old find the average age of both groups is 10 years old.
Answer:
$4000 was invested at 4%, 2500 was invested at 3%
Step-by-step explanation:
First and foremost the question has to be define.
Total amount raised is $6500
Savings account percentage simple interest =3%
Government Bond: 4% simple interest
Equation for amount invested at each rate:
(6500-x)0.03 + 0.04x = 235
195 - 0.03x + 0.04x = 235
0.01x = 40
x = 4000
$4000 was invested at 4%, 2500 was invested at 3%