Ratio
Understanding ratios is very easy and simple let us say that there are 10 boys and 2 girls in a class. So the ratio of boys to girls would be 10: 2. There is one more way to write is 10 /2. And we know from fractions that is also the same thing as 5:1 or 5 over 1 that is 5/1 we want to keep that 1 , because we know that it is the ratio to one thing to another thing. So what does that mean? in another way what are ratios? It means that, In math ratio for every 5 boys there is only 1 girl. And so if we told you that the ratio of boys is to girls is 5:1 and we told you that there are , let us say there are 100 girls then we know that for the every girl there are 5 boys. so that means there are 500 boys. We can also look that as the ratio, boys to girls is 500/100.which equals 5/1.
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Now let is solve some more ratio examples, let us say ratio of red balls: green balls in a bag is let us say is 2:3. There are 40 red balls. How many green balls are there? Well here we say is ratio of red balls to green balls is 2:3 and also we know that there are 40 red balls and we need to solve for green balls. Let the green balls be x. that is 40/x which is equal to 2/3. 40/x=2/3, we do cross multiplication here, 2x=40 times 3. 2x=120, dividing both the sides by 2 so we get x value that is 60. X=60. The green balls are 60. This mean for every 2 red balls there are 3 green balls. So likewise for every 40 red balls there would be 60 green balls.
If we are finding ratios then, let us say, If the ratio of boys/girls =2/7, and the strength of the class is 180. Here can we figure out how many would be boys and girls are in the class? Let us think about it, we know here in this question that the ratio of boys and girls is 2:7 that is for every 2 boys there are 7 girls and we also know that boys + girls =180. We can solve this with algebra, when problem get complicated this will always work. Here we do substitution. So boys = 2/7 times girls. We did simplification both the sides by girls, now we substitute that for boys. In Boys+ girls=180. 2/7girls + girls=180, we get girls=140 after simplifying. Thus out of 180 girls are 140. 180-140=40 are the boys. Thus 40/140 is the correct answer.
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Now let is solve some more ratio examples, let us say ratio of red balls: green balls in a bag is let us say is 2:3. There are 40 red balls. How many green balls are there? Well here we say is ratio of red balls to green balls is 2:3 and also we know that there are 40 red balls and we need to solve for green balls. Let the green balls be x. that is 40/x which is equal to 2/3. 40/x=2/3, we do cross multiplication here, 2x=40 times 3. 2x=120, dividing both the sides by 2 so we get x value that is 60. X=60. The green balls are 60. This mean for every 2 red balls there are 3 green balls. So likewise for every 40 red balls there would be 60 green balls.
If we are finding ratios then, let us say, If the ratio of boys/girls =2/7, and the strength of the class is 180. Here can we figure out how many would be boys and girls are in the class? Let us think about it, we know here in this question that the ratio of boys and girls is 2:7 that is for every 2 boys there are 7 girls and we also know that boys + girls =180. We can solve this with algebra, when problem get complicated this will always work. Here we do substitution. So boys = 2/7 times girls. We did simplification both the sides by girls, now we substitute that for boys. In Boys+ girls=180. 2/7girls + girls=180, we get girls=140 after simplifying. Thus out of 180 girls are 140. 180-140=40 are the boys. Thus 40/140 is the correct answer.
Looking out for more help on 10 grade math by visiting listed websites.
Now let is solve some more ratio examples, let us say ratio of red balls: green balls in a bag is let us say is 2:3. There are 40 red balls. How many green balls are there? Well here we say is ratio of red balls to green balls is 2:3 and also we know that there are 40 red balls and we need to solve for green balls. Let the green balls be x. that is 40/x which is equal to 2/3. 40/x=2/3, we do cross multiplication here, 2x=40 times 3. 2x=120, dividing both the sides by 2 so we get x value that is 60. X=60. The green balls are 60. This mean for every 2 red balls there are 3 green balls. So likewise for every 40 red balls there would be 60 green balls.
If we are finding ratios then, let us say, If the ratio of boys/girls =2/7, and the strength of the class is 180. Here can we figure out how many would be boys and girls are in the class? Let us think about it, we know here in this question that the ratio of boys and girls is 2:7 that is for every 2 boys there are 7 girls and we also know that boys + girls =180. We can solve this with algebra, when problem get complicated this will always work. Here we do substitution. So boys = 2/7 times girls. We did simplification both the sides by girls, now we substitute that for boys. In Boys+ girls=180. 2/7girls + girls=180, we get girls=140 after simplifying. Thus out of 180 girls are 140. 180-140=40 are the boys. Thus 40/140 is the correct answer.
My forthcoming post is on neet mbbs will give you more understanding about Math.
Now let is solve some more ratio examples, let us say ratio of red balls: green balls in a bag is let us say is 2:3. There are 40 red balls. How many green balls are there? Well here we say is ratio of red balls to green balls is 2:3 and also we know that there are 40 red balls and we need to solve for green balls. Let the green balls be x. that is 40/x which is equal to 2/3. 40/x=2/3, we do cross multiplication here, 2x=40 times 3. 2x=120, dividing both the sides by 2 so we get x value that is 60. X=60. The green balls are 60. This mean for every 2 red balls there are 3 green balls. So likewise for every 40 red balls there would be 60 green balls.
If we are finding ratios then, let us say, If the ratio of boys/girls =2/7, and the strength of the class is 180. Here can we figure out how many would be boys and girls are in the class? Let us think about it, we know here in this question that the ratio of boys and girls is 2:7 that is for every 2 boys there are 7 girls and we also know that boys + girls =180. We can solve this with algebra, when problem get complicated this will always work. Here we do substitution. So boys = 2/7 times girls. We did simplification both the sides by girls, now we substitute that for boys. In Boys+ girls=180. 2/7girls + girls=180, we get girls=140 after simplifying. Thus out of 180 girls are 140. 180-140=40 are the boys. Thus 40/140 is the correct answer.