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Maths question
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Pratish:
Hi could anyone help me to try work out these sums algebraically. Any help will be much appreciated
Question no.1
Marcus bought a pizza and cut it into three pieces. When he weighed the pieces he found that one piece was 7g lighter than the largest piece and 4 g heavier than the smallest piece. The whole pizza weighed 300g. How much did each of the three pieces weigh? 300-7= 293/ 293+4= 297 297/3 =99g/ 99g + 7g = 106 g / 99-4 95g
Question no.2
James earns $ 5.20 per hour for his basic 40-hour week. When he works y hours he is paid his basic rate plus 0.8$. One week he works y hours and receives $ 298.00. How many hours overtime di he work?
5.20*40 = a/ 280-a= b
Question no. 3
Last Season Dickson attended all 21 home matches of his favourite football team. Sometimes he bought a ticket for a seat costing $ 45. On the other occasions he bought a ticket to stand and this cost $25. For the whole season, Dickson paid $ 765 for his tickets. How many times did he buy a ticket for a seat? ( 45/70*765 = seat costs and 25/70*765= stand costs
Freaked12:
x being the largest piece the equation goes like this
x+(x-7)+(x-11)=300
3x-18=300
3x=318
x=106 grams
the medium piece 99 grams
and the smallest one 95 grams
Freaked12:
Question 3) I think (i am doing mentally)
x being the number of times he took the seat and y being the number of times he stood
45x + 25y=765 (for the cost)
x+y=21 (total number of matches)
solving simultaneously we get
x=12---seating
y=3----- standing
so the number of times he bought a ticket for a seat is 12
Pratish:
--- Quote from: Pratish on December 15, 2010, 08:45:09 pm ---Hi could anyone help me to try work out these sums algebraically. Any help will be much appreciated
Question no.1
Marcus bought a pizza and cut it into three pieces. When he weighed the pieces he found that one piece was 7g lighter than the largest piece and 4 g heavier than the smallest piece. The whole pizza weighed 300g. How much did each of the three pieces weigh? 300-7= 293/ 293+4= 297 297/3 =99g/ 99g + 7g = 106 g / 99-4 95g
Question no.2
James earns $ 5.20 per hour for his basic 40-hour week. When he works y hours he is paid his basic rate plus 0.8$. One week he works y hours and receives $ 298.00. How many hours overtime di he work?
5.20*40 = a/ 280-a= b
Question no. 3
Last Season Dickson attended all 21 home matches of his favourite football team. Sometimes he bought a ticket for a seat costing $ 45. On the other occasions he bought a ticket to stand and this cost $25. For the whole season, Dickson paid $ 765 for his tickets. How many times did he buy a ticket for a seat? ( 45/70*765 = seat costs and 25/70*765= stand costs/ 491.8/765*21= a/ 273.2/765*21=b)
Thank you so much ;).
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