Maths question

[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]

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 .

(