SirAkko

First, we have to turn 5:4 into two numbers that add to 18.

(Remember ratios are also fractions!)

We can multiply 5:4 by 2 to get 10:8!

10 + 8 = 18

Now that we have a working ratio let's answer the questions!

(a) All we have to do is subtract 10 and 8 because we need to figure out the difference!

(Fun Fact: Difference is another way of saying subtraction) 

10 minus 8 is 2 


(b) The ratio is the amount he spends to saves. This means he saves 8 (10:8) in a week! 


Answers:
(a) 2
(b) 8

Hope this helped! 

Let's start by finding 3b+c=41

From the problem "bc=60", we know that b and c are both divisors of 60. We can use this to help us solve this.

These are the divisors of 60 if you need them:

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Before looking at what B and C are I want you to try to figure it out...

Ok, "b" is 12, and "c" is 5! 

Now we just have to figure out "a"


"2a+3b=52"

We already know b is 12 so we can rewrite the problem like this

2a + 36 (because 12 times 3 is 36) = 52

Now we just subtract 36 from both sides and we get

2a = 16

Now we just have to divide each side by 2 and...

 "a" is 8!
 

"Find a+b+ c."

Finally, we add up all our numbers

8 + 12 + 5 = 25! 

Hope this helped! 

"8 x 9"

8 times 9 is like saying 8 plus 8 ... but 9 times.

That process would take too long so to learn this you would either have to memorize your multiplications or do long multiplication.

The answer is 72
 

We have to figure out what c is...

First, we multiply the c and 1/3 this turns it into...

1c/3 = 9 

We easily know multiplying anything by 1 keeps it the same so we can remove the 1

c/3 = 9

Now we multiply 3 on both sides to cancel the fraction

c = 27

Hope this helped! 


 

"Wyatt drew 12 pictures in 5 minutes"

12 pictures in 5 minutes as a ratio is...

12:5
 

"Logan drew 14 pictures in 6 minutes"

14 pictures in 6 minutes as a ratio is...

14:6


We need to figure out who drew at a faster rate. Remembering that ratios are fractions we can turn them into fractions.

12/5 and 14/6

We need to make the denominators (or the bases) the same to see who draws faster. So we should multiply the top and bottom by a number!

The least number that 5 and 6 are both multiples with is 30

To turn 12/5 into x/30 we need to multiply the top and bottom by 6 

this turns it into 72/30 is Wyatts

To turn 14/6 into x/30 we need to multiply it by 5

this turns into 70/30 is Logans


72 paintings in 30 minutes are greater than 70 paintings in 30 minutes so Wyatt is faster!

Hope this helped 
 

First to solve this problem we need to make the denominator (or the base) of the fraction 60 because it is the total. 

Let's start with 2/3! 

First, we slip up 60 into 3 parts (Also known as dividing 60 by 3)

Which gets us 20

So 1/3 is 20 then 2/3 is 40!

"1/2 of the remaining customers ordered take-out"

We have 20 remaining customers because 60 - 40 (as we got from the last part) is 20. 

1/2 of 20 is pretty much dividing it by 2 or splitting it in half. So 20 in half is 10

That means 10 ordered take-out!

"The rest of the customers ordered lunch"

10 ordered take out and 40 ordered breakfast so adding that together gives us

50!

Knowing there were 60 in total we just have to subtract 50 from 60 which gives us

10 as the answer!

Part 1

To find the average from that list we need to add all the numbers together. Don't forget to add it with the number of students it has. (So 10 has 2 students you would add it twice because there are 2 students.)

Adding all these numbers you get:

 803

To find the average you also have to divide it by the amount of numbers that were in the problem.

Figuring out the number of numbers we had to add together there are 25 in total

Dividing that with 803 you get:

32.12 as the average

Part 2

The median is the number that is in the middle of the list. To find it you have to line up all the numbers from least to greatest. Because we have an odd amount of numbers we already know our median will be a full number. (If it was even it would be a decimal you can look it up on your own time.)

The middle number out of the list would be the 13th number which is 30.

That means 30 is our median.

Part 3

The mode is simply the number that appears most often. So we just have to look at the list and figure out which number we added the most. 

We added 46 and 18 both 4 times making them both the mode.

(If you are wondering a set of numbers can have more than one mode.)

Part 4
 

"Which of the ... best represents the number of credits earned by the typical student?"

If they want to know what best represents their "typical student" (When they say typical student they refer to "Average Student" if that makes more sense) then we have to look back and see which answer solved the "average" number of credits.

(Ignoring the fact I've said average too many times ) The answer we got for the first part (or the part where we solved the average) shows what the typical student would possibly get on the test.

Hope this helped! 
 

"Suppose m is the amount of money the students collect for selling R raffle tickets."

We know that every time they collect an amount they receive an amount. So the equation would look something like this:

Rx = mx   (The number being next to it shows it being multiplied)

The "x" represents the amount they sold.  

Hope this helps! :D

(Also, if they want you to write the "m" as "M" make sure to change it before answering thank you!)

From the problem, we have this information:

Kenn took 2/7 of the treats

and Ben took 5/7 of the treats

If Kenn took 18 fewer sweets than Ben, how many sweets did they have altogether at first?

First, we figure out how much more Benn took from the pile than Kenn. 

We take Ben's total and subtract it from Kenn's total. Putting that in number form it looks like this:

5/7 - 2/7

Thankfully, it has the same denominator so we can subtract 5 from 2 which is 3.

Now we know that Ben has 18 (or 3/7) more treats  than Kenn so we divide 18 and 3 to figure out 1/7 of the fraction which is 6
(because 6 multiplied by 3 is 18)

So now we know 1/7 is 6 we just have to multiply 6 by 7 to get our total. Multiplying it gets you 42

So in total, they had 42

Hope this helps! :D



 

If we know that there are 45 people per square kilometer and there are 33 square kilometers we can make this equation:

45 * 33 = y

(the * is another way write multiplication) 
 

All we have to do is multiply the numbers!

45 x 33 = 1,485

I hope this helps! :D