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200 pupils are taking a school trip. Some are flying, some are taking the bus. There are three times as many boys going as girls. One third of the boys going are flying. How many boys are getting the bus?

x is number of boys. y is number of girlsx + y = 200x = 3y4y = 200y = 50x = 1502/3 * 150 = 100 boys getting the bus
JC
Answered by Jonty C. • Maths tutor
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Solve x^2+x-30=0

To solve this question we need to factorise x 2 +x-30=0 to find the points in which the function x 2 +x-30=0 intersects/ cuts the x axis. We factorise the function x 2 +x-30=0 by assessing the function, if t...
DP
Answered by Dylan P. • Maths tutor
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What is the slope of the function y=3x(squared)-9x+7 at x=2.

In order to find the slope of the given function, we firstly have to find its first order derivative. This derivative will give us the slope of the original function at every point. To find the derivative, w...
NK
Answered by Niclas K. • Maths tutor
3026 Views

Find the equation of the line in the form of y=mx+c given that two points on the line are (3,1) and (6,10)

Firstly, we can solve this equation by drawing a graph. By drawing it accurately we can see that the line intercepts the y-axis at -8 making the c value = -8. Next to calculate the gradient, m, we can take a...
SI
Answered by Samuel I. • Maths tutor
5543 Views

Solve the simultaneous equations x^2+ y^2 = 29 and y–x = 3

For this question we will be using the substitution method in order to solve this question. Firstly we will take the less complex equation and rearrange to make either x or y the subject of the formula. We w...
RC
Answered by Rio C. • Maths tutor
4602 Views