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Mathematics 7 Online
OpenStudy (anonymous):

I suck at stuff like tis so can anybody help... William, Xenia, Yvonne and Zach each brought the same number of small Easter eggs to a picnic. Between them they ate all the eggs: William ate 12, Xenia ate 10, Yvonne ste 5 more than she had brought, and Zach ate 1 fewer than he had brought. How many eggs were there in total?

OpenStudy (butterflydreamer):

let number of easter eggs brought by one person = x Since the first line tells you that they ALL brought the same number of easter eggs to the picnic this would mean William brought x, Xenia brought x, Yvonne brought x and Zach brought x. So can you tell me how many x's there are in total?

OpenStudy (anonymous):

x=4???

OpenStudy (butterflydreamer):

x does NOT equal to 4 but there are 4x's in total.

OpenStudy (anonymous):

12=x 12x4

OpenStudy (anonymous):

which =48

OpenStudy (butterflydreamer):

So the next step is to move onto forming an equation :) So we know William ate 12, Xenia ate 10, Yvonne ate 5 more than she brought (Therefore 5 + x) and Zach ate 1 less than he had brought (Therefore x - 1) So now we add William + Xenia + Yvonne + Zach To get 12 + 10 + 5 + x + x - 1 and we worked out at the beginning that William + Xenia + Yvonne + Zach = 4x right? THEREFORE: 12 + 10 + 5 + x + x - 1 = 4x Now solve for x.

OpenStudy (anonymous):

10

OpenStudy (butterflydreamer):

not quite. Try again! :) What is 12 + 10 + 5 -1 + x + x ?

OpenStudy (anonymous):

12+10+5-1+11+11=48

OpenStudy (butterflydreamer):

where is 11 coming from?

OpenStudy (anonymous):

to make 48

OpenStudy (butterflydreamer):

... where is 48 from?

OpenStudy (anonymous):

my brother is yelling it in my ear

OpenStudy (butterflydreamer):

oh well that's not quite right.. Do you know how to collect like terms? :)

OpenStudy (anonymous):

no haven't learnt that yet

OpenStudy (butterflydreamer):

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