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Svetradugi [14.3K]
3 years ago
11

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Six times Jason

's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection and Nathan's entire collection add up to 31 books. The number of books in Jason's collection is (Answer here) , and the number of books in Nathan's collection is (answer here) .

Mathematics
2 answers:
madam [21]3 years ago
6 0

Answer: The number of books in Jason's collection = 21

The number of books in Nathan's collection = 24.

Step-by-step explanation:

Let the number of books Jason has be 'J'.

Let the number of books Nathan has be 'N'.

According to question, we have ,

6J+\dfrac{1}{3}N=134\\\\18J+N=134\times 3=402\\\\18J+N=402---------(1)

Similarly, we have,

\dfrac{1}{3}J+N=31\\\\J+3N=31\times 3\\\\J+3N=93-----------(2)

So, graphically, we get the values of J and N:

The number of books in Jason's collection = 21

The number of books in Nathan's collection = 24.

Helga [31]3 years ago
4 0
Based on the given above, collection of books of Nathan and Jason can be translated into the following equations:
6J + 1/3N = 134
1/3 J + N = 31; J = Jasons and N=Nathan
Solving two equations with two unknowns simultaneously,
Jason = 21 books and Nathan = 24 books
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Alfred collects black and brown socks but loses a lot of them. If 60% of all his socks are brown, 20% of his brown socks are in
Ipatiy [6.2K]

Answer:

Alfred has 250 socks in his collection.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Based on the information given to us we can see that out of All his Brown socks he has 20% in the wash and the rest are in his drawer. Meaning 80% of the Brown socks are in his drawer. So we first need to find how many Brown socks are in the wash. We can solve this using the <em><u>Rule of Three </u></em>property as shown in the picture below.

120 drawer   ⇒   80%

      x wash    ⇒  20%

\frac{120*20}{80} = 30

Now that we have the amount of Brown socks in the washer we can add that to the amount in the drawer to find the total amount of Brown socks.

Br = 120+30\\Br = 150

So we now know that there are a total of 150 Brown socks. Since the question states that the Brown socks are 60% of the total we can use the <u><em>Rule of Three</em></u> to find the total.

150 Brown   ⇒   60%

    T  Total   ⇒   100%

\frac{150*100}{60} = T

250 socks = T

Finally, we can see that Alfred has 250 socks in his collection.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
Abdul is making a smoothie of 10 veggies. He has 12 to choose from. How many different smoothies can Abdul make?
Setler79 [48]

Answer:132 combinations

Step-by-step explanation:

6 0
3 years ago
Wesleys mother is 57 years old. her age is three years more than twice edwins age. what is wesleys age?
natita [175]

Answer: Edwin is likely a typo for Wesley.

Step by step:

Wmom=57

Wmom=3+2e

57=3+2e

54=2e

27=e

Edwin is 27 years old.

Aside from a typo, one can speculate on Wesley's age. He's likely between 20 and 39 years old based on his mother's age. If you want to delve into societal norms, Wesley is likely to be a name from a white middle to upper class parentage, so it's less likely he was had when his mother was a teen, or even in her early twenties because college, so move that age zone to 20 to 34. Then consider that having children later than 35 is consideration for a "risky" pregnancy and most women are urged to aim for before 33, but most upper middle class white women will be pressured to baby before 30. So, adjust Wesley's age zone to 27 to 34. And then...idk. But in all honesty I think Edwin is meant to be Wesley, because it's a math problem not a sociology one.

7 0
4 years ago
Describe two different strategies you could use to add 16 + 35 + 24 + 14.​
Vinil7 [7]

Answer:

1. Make a table

2. Combine numbers

Step-by-step explanation:

First what you need to do is make a table making 2 columns, then name them tens and one. Put the tens place in the tens column and put the ones place in the ones column. Then, put all the numbers mentioned (16, 35, 24, 14) in the table and add the tens then add the ones!

Another strategy you can use is combining numbers. With 35 and 16 you can combine them to make 51. Then combine 24 and 14 to make 38. Then you add 51 and 38 to get 89.

I hope this helped your homework!

7 0
2 years ago
D. Solve the following problems:
hodyreva [135]

Step-by-step explanation:

100 = 12

300 + 50 = 36 + 6 = 42 L

3 0
3 years ago
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