Skip to main content

Form And Solve Linear And Quadratic Equations | Extended Abstract Task

Painting Triplets

"Pania, Henare and Matiu are triplets. Henare can paint a room in 3 hours, Pania can do it in 4 hours, Matiu can do it himself in 6 hours, If they all do it work together but don't get in each other's way, how long will it take to paint the room?"

1hr and 20 mins. The reason why is all of them paints a fraction of the room. p + h + m = 1. Since Matiu can do it in 6 hours, that means Henare can do it in half the time. That means that m/2 = h as it means Henare can do a whole room in half the time Matiu takes. So if Pania takes 4 hours, that means she will always be painting 3/4 of the room, because Henare takes 3 hours to paint the whole room. Henare paints h of the room, Pania paints 3h/4. So Pania is 3h/4. 3h/4 = P. Our whole equation is h + 3h/4 + h/2 = 1 or 9/4h = 1 or h. Which I'm pretty sure equals 4/9. Henare takes 3 hours to do the room on his own. This means that he takes 4/9 of 3 hours with his siblings. Painting the room takes 4/3 of an hour or 1 hr and 20 minutes.

Comments

Popular posts from this blog

Alternative NZ Flags

I think that the flag should stay the same as we have now. There is no point in spending millions of money just to change the flag. So what if our flag kinda looks like the Australian flag. Soon our notes will end up looking like Australian notes. But if we would be changing flags my favourite one would be the second one.


Probability Reflective Blogpost

In Maths we have been learning to:

compare and describe the variation between theoretical and experimental distributions in situations that involve elements of chance.

calculate probabilities, using fractions, percentages, and ratios.

Here is a link to our online modelling book that supports this learning.

Here is some evidence of my learning. Include screenshots for all 4 of the IXL activities. Link to extended abstract text book activity ( make this link live with your learning) or include some images if you did this work in your Maths book. Link to Extended abstract Figure it out activities ( Make this link live with your learning)

Rough Justice Slater Mazes Text Book Activity
My next step is to continue to apply my knowledge of statistics and probability in a variety of real world situations and contexts.

Current Events Term 1

Current Events Term 1
In Current Events I covered these topics: The design of the Halswell Skate Park and I made a submission to the council. Donald Trump’s Refugee Plan Christchurch Earth Memorial The new Ngā Puna Wai Sports Facility The Red Zone and Avon River Regeneration Plan with a submission to the council.
My favourite topic was Donald Trump's Refugee Ban because it was very interesting to me because of the recent political issues about Donald Trump recently.
Hereis a link to my learning on the Red Zone and Avon River Regeneration Plan.
The Reading National Standards I have achieved are (delete the ones that are not relevant) Year 9/10 As I read I can make decisions about the usefulness of the text for the purpose - Eg: by using a variety of criteria to evaluate