Find the ticket unit cost: divide the total paid, $324, by the number of tickets, x. Then the form of the unit cost is
$324
--------- .
x
This question is highly unusual in that you write "x" as the number of tickets sold, instead of a specific number of tickets. Supposing that you'd sold 100 tickets for $324, then the unit cost would be, much more typically, a numeric ratio:
$324
----------------- = $3.24/ticket
100 tickets
Answer:
Dunkin Donuts is giving away free box of 12 Donuts per family to everyone this week to support the nation during Pandemic and the cities of Greenland and the cities of Greenland and the cities of Greenland and the cities of Greenland
2. 3/4(-4 + 4x) = -3 + 3x 3/4 times 4 is 3, so if you distribute 3/4 (-4 + 4x), you will get -3 + 3x.
3. -0.113(-4x - 4) = 0.452x + 0.452 0.113 times 4 is 0.452, but you need to make sure to have the correct signs. Since the product is positive and -0.113 is negative, you would have to multiply it by a negative to get the product.
If you're having trouble with multiplying by fractions, just use repeated addition in your head. For example, for the first problem, instead of trying to tackle 3/4 times 4, think 3/4 + 3/4 + 3/4 + 3/4.
3/4 + 3/4 = 6/4
6/4 + 3/4 = 9/4
9/4 + 3/4 = 12/4
12/4 = 3
For the second problem, when multiplying by a decimal, just do what you'd normally do for multiplication. When you get to the end, count how many digits you had behind the decimal before, and put the decimal in the corresponding space for the answer.
0.113
x 4
0452
There are 3 digits behind the 0 in 0.113, so there should be 3 digits behind the decimal in the answer. So, the answer should be 0.452.
Hope this helps!
Answer:
- 12x +15y = 4140; x + y = 300
- x = 120; y = 180
Step-by-step explanation:
The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.
The equations are ...
12x +15y = 4140; x +y = 300
__
Using the second equation to write an expression for x, we have ...
x = 300 -y
Substituting this into the first equation gives ...
12(300 -y) +15y = 4140
3600 +3y = 4140
y = (4140 -3600)/3 = 180
x = 300 -180 = 120
The number of tickets sold is ...
$12 tickets -- 120
$15 tickets -- 180
_____
You might want to notice that the equation we ended up with:
4140 -12(300) = 3y
is equivalent to this "word solution." This can be done in your head; no equations required.
If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.
