Four students plan to rent a minivan for a weekend trip and equally share the rental cost of the van. By adding two more people,
each persona can save $10 on his or her shre of the cost. How much is the total rental cost of the van?
1 answer:
The total rental cost is $120.
Let x be the amount each person pays and y be the total cost. Our first equation would be
4x = y.
The second equation would be
6(x-10) = y.
Since these are set equal to the same variable, we can use substitution:
4x = 6(x-10)
Using the distributive property, we have
4x = 6*x - 6*10
4x = 6x-60
Subtract 4x from both sides:
0 = 2x-60
Add 60 to both sides;
60 = 2x
Divide both sides by 2:
30 = x
This means each person pays $30 (in the first equation). 4(30) = 120 for y.
With 4 people, each person pays $30; with 6 people, each person pays 30-10=20.
You might be interested in
9, 14, and 22.
The formula for checking if a triangle will work is side a + side b > side c.
The only one that works is 9, 14, and 22.
Answer:
There are no solutions
<u>Steps : </u>
First we expand it
Then we add 3 to both sides
Then we simplify
Then we subtract 6b from both sides
Simplify
<u>No solutions !</u>
4 sizes and 3 toppings, 2 sizes and 6 toppings, 3 sizes and 4 toppings
Morgan can write 6 pages in 3/4 of an hour.