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Svetradugi [14.3K]
2 years ago
8

Ivan finished Four-fifths of his math homework problems and all 3 problems for his science homework before dinner. If he finishe

d a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?
Mathematics
1 answer:
valentinak56 [21]2 years ago
3 0

Answer:

Step-by-step explanation:

Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining

substract the science problems from the total 43-3=40

And now we can determine the amount of math problems

4/5 = 40/x where x is the total amount of math problems Ivan was assigned

cross multiply

4x = 5*40

4x=200

isolate the variable

4x/4 = 200/4

x=50

So Ivan was assigned a total of 50 math problems

(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation

Hope this helps!

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`Step-by-step explanation:

Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:

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3 years ago
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3 years ago
How can I use the percent equation???Ex.what number is 40% of 500???and can u solve this one,too.:45 is 25% of what number???THA
HACTEHA [7]
I've been waiting for someone to ask this question.  It's one of my favorite questions to answer.

percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200



if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1

thus
percent is out of 100 so 1%=1/100  25%=25/100
if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
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so you divide to find x and get 180
so 45 is 25% of 180


The following is extra
   as stated above 'of' can be taken as multiply so
   45 is 25% of 180 can be rewriten as
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Answer:

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