The number of time it would take Todd to paint the room alone is 15 hours.
- Let the Todd's time be t.
<u>Given the following data:</u>
To calculate the number of time it would take Todd to paint the room alone:
How to solve a word problem:
In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.
<u>For </u><u>Sue</u><u>:</u>
<u>For </u><u>Jeff</u><u>:</u>
<u>For </u><u>Todd</u><u>:</u>
<u>Combined rate:</u>
Adding the individual rates, we have:
Multiplying all through by 120t, we have:
t = 15 hours.
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Problem 33
For each number, generate a factor tree. This is where you break a number down into smaller factors in a visual "tree" like style. The idea is to factor down to the prime factors and then you circle the common primes between each number. The values you circle are then multiplied if you circle more than one value in each tree.
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Problem 34
Xiao factored correctly but didn't pull out the GCF. So he didn't factor fully. In the case of 60 and 90, the GCF is 30. This is the largest shared factor between the two values. So we can pull out 30 to get
60+90 = 30*2+30*3 = 30*(2+3)
I'm basically using the distributive property in reverse. You can distribute the 30 back in and get 60+90 again. Notice how the inner stuff 2 and 3 have no factors in common other than 1.
The two person will pay the same amount of money when they both watch 9 hockey games.
<h3>How to find the equation and use it to find cost?</h3>
A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,
y = 99 + 3x
where
y = total cost
x = number of game
A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,
y = 14x
The number of games they will have the same amount is as follows:
99 + 3x = 14x
99 = 14x - 3x
99 = 11x
x = 99 / 11
x = 9
Therefore, they will have the same amount when they watch 9 games.
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Answer: A. 138 times
How?
During that time period there were 23 days so 23 multiplied by the amount of times played per day (6)
You get the answer 138