![\boxed{ \mathfrak { question↷}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cmathfrak%20%7B%20question%E2%86%B7%7D%7D)
Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?
![\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}](https://tex.z-dn.net/?f=%5Cred%7B%20%5Crule%7B35pt%7D%7B2pt%7D%7D%20%5Corange%7B%20%5Crule%7B35pt%7D%7B2pt%7D%7D%20%5Ccolor%7Byellow%7D%7B%20%5Crule%7B35pt%7D%20%7B2pt%7D%7D%20%5Cgreen%7B%20%5Crule%7B35pt%7D%20%7B2pt%7D%7D%20%5Cblue%7B%20%5Crule%7B35pt%7D%20%7B2pt%7D%7D%20%5Cpurple%7B%20%5Crule%7B35pt%7D%20%7B2pt%7D%7D)
![\boxed{ \mathfrak { solution↷}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cmathfrak%20%7B%20solution%E2%86%B7%7D%7D)
Let Pip get be x and fiona get be x+35
Ratio = 6:1
![\tt \frac{x + 35}{x } = 6](https://tex.z-dn.net/?f=%20%5Ctt%20%5Cfrac%7Bx%20%2B%2035%7D%7Bx%20%7D%20%20%3D%206)
![\tt \: x + 35 = 6x](https://tex.z-dn.net/?f=%20%5Ctt%20%5C%3A%20x%20%2B%2035%20%3D%206x)
![\tt \: 5x = 35](https://tex.z-dn.net/?f=%20%5Ctt%20%5C%3A%205x%20%3D%2035)
![\tt \: x = 7](https://tex.z-dn.net/?f=%20%5Ctt%20%5C%3A%20x%20%3D%207)
![\boxed{ \sf \: Total \: money = x + x + 35 = 14+ 35 = £49}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%20%5C%3A%20Total%20%20%5C%3A%20money%20%3D%20x%20%2B%20x%20%2B%2035%20%3D%2014%2B%2035%20%3D%20%C2%A349%7D)
You can use the equation to find the slope of a line given two points. This equation is y2 - y1 divided by x2 minus x1. The y2 is represented by the y coordinate of the second ordered pair, but it really doesn't matter, either way you get the same answer. The same way the x2 is represented by the x coordinate of the second ordered pair. For this problem, I will just use the normal coordinates. So the second y coordinate is 3. 3 -0 = 3. So your numerator is 3. The second x coordinate is 2. 2-0 = 2. So the denominator is 2. This is 3/2. So your slope would be 3/2. Hope this helps. :D Let me know if you didn't understand something in my explanation.
I think you’re answer is 42 slices of pizza.
the way i worked it out is by finding out how many minutes are in an hour (60 mins). after that i divided it by 10(mins), which would have gotten me 6. therefore i multiplied 7 x 6 which gave me 42.