Let us formulate the independent equation that represents the problem. We let x be the cost for adult tickets and y be the cost for children tickets. All of the sales should equal to $20. Since each adult costs $4 and each child costs $2, the equation should be
4x + 2y = 20
There are two unknown but only one independent equation. We cannot solve an exact solution for this. One way to solve this is to state all the possibilities. Let's start by assigning values of x. The least value of x possible is 0. This is when no adults but only children bought the tickets.
When x=0,
4(0) + 2y = 20
y = 10
When x=1,
4(1) + 2y = 20
y = 8
When x=2,
4(2) + 2y = 20
y = 6
When x=3,
4(3) + 2y= 20
y = 4
When x = 4,
4(4) + 2y = 20
y = 2
When x = 5,
4(5) + 2y = 20
y = 0
When x = 6,
4(6) + 2y = 20
y = -2
A negative value for y is impossible. Therefore, the list of possible combination ends at x =5. To summarize, the combinations of adults and children tickets sold is tabulated below:
Number of adult tickets Number of children tickets
0 10
1 8
2 6
3 4
4 2
5 0
Answer:
y=mx+b is the formula. So -8=-3x+5 would be the answer..
since (x,y) just substitute these numbers you have it into the formulas... Take y from (5,-8) and place it into y=mx+b. Next take the slope which is -3. And then since its a postive number we <em>add</em> are x from (x,y). -8=-3x+5. We also add x next to the slope (-3) becuase we are trying to solve for x. And we <em>always</em> put it next to the slope. Hope this helps!
Answer:
31/15 or 2 1/15
Step-by-step explanation:
The common denominator is 15. Convert both to an improper fraction and simplify.
Answer:
----- Banana
----- Almonds
---- Chocolate
Step-by-step explanation:
Let
banana
almonds
chocolate
So, we have:
--- total used
-- i.e. 6.52 * 100 --- total sales from 100 pounds
Required
The number of pounds of each (i.e. x, y and z)
Substitute in
Make x the subject
Substitute in
Substitute
Collect like terms
Divide by 14
Substitute in
To calculate y, we have:
Answer:
-10,-100,-8,-7,-2,-4,-5,-20,-6,-3,-7
