Answer:
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
Solution:
Step 1: Set up a table with quantity and value.
quantity value total
$3 tickets
$2 tickets
together
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantity value total
$3 tickets x 3 3x
$2 tickets y 2 2y
together 350 950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
ANSWER:
STEP-BY-STEP EXPLANATION:
The operation is a multiplication, which is expressed as follows:
Answer:
a.) 10% is correct. If you add them all together it's 50 pennies. Lincoln and steel pennies equal 10 and 10 of 50 is 10%
Answer:
1320
Step-by-step explanation:
There are three "spots" for balls.
__ __ __
For the first "spot," and without replacement, meaning we don't put the balls back, there are 12 choices.
12 __ __
But for the next spot, there are only 11 choices. And for the next, there are only 10!
12 11 10
Since these are independent events, we multiply them together.
12 x 11 x 10 = 1320
There are 1320 possibilities!
How could we do it on the calculator, much faster? The question says "in order," so we know it's a <em>permutation,</em> not a <em>combination.</em> This is the nPr button on the calculator (math -> prb -> 2). Just type in 12 nPr 3 and you get the same answer, 1320.
