The ratio of boys to girls in a group is 5: 3. if there are 10 more boys than girls, work out how many people there are in total.

40 students

Step-by-step explanation:

Lets multiply:

5:3 = 10:6 = 20:12 = 25:15

Since 25 is 10 more than 15, these are the actual numbers we need.

25 + 15 = 40 students.

If the ratio is 5:3 boys to girls and there are 10 more boys than girls, there would be 15 girls and 25 boys, for a total of 40 people.

Step-by-step explanation:

To solve the ratio, we need to set up a proportion and assign a variable to solve for.  In this case, we can make 'x' the number of girls and 'x+10' the number of boys.  We know that the ratio of boys to girls is 5 to 3, so we can set up a proportion where 5/3 = (x+10)/x.  In order to solve a proportion, we would cross-multiply and divide in order to get a two-step equation to solve for the variable.  When we cross-multiply, we get 5x=3(x+10), or 5x=3x + 30.  Using inverse operations, first subtracting the '3x' from both sides to get 2x=30, and then dividing both sides by 2 to get x=15.  Remember, that 15 represents the number of girls.  The number of boys is equal to  'x+10' or 15 +10=25.  Then the total number of people is 15+25=40.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

answer: it is d

step-by-step explanation: