Hi guys,Can somebody help with with this math problem sums.It is P6
1) There were 120 tables and chairs in a furniture shop, 4/9 of the tables and 5/7 of the chairs were made of wood. The rest of the 44 tables and chairs were made of metal. How many tables were made of wood ?
2) In a swimming club, the ratio of the no. of girl to the no. of boys was 5:3. after 3 girls and 5 boys joined the club, the
ratio become 7:5. how many girls were there in the club at first?
3) In a concert hall, the ratio of the no. of females to the no. of male was 5:6. the ratio of the girls to the no. of women was
2:3. the ratio of the no. of boys to the no. of men was 3:4. if there were 120 more men than women, how many people
were there altogether?
Thanks!
Originally posted by M@skrubber:Hi guys,Can somebody help with with this math problem sums.It is P6
1) There were 120 tables and chairs in a furniture shop, 4/9 of the tables and 5/7 of the chairs were made of wood. The rest of the 44 tables and chairs were made of metal. How many tables were made of wood ?
2) In a swimming club, the ratio of the no. of girl to the no. of boys was 5:3. after 3 girls and 5 boys joined the club, the
ratio become 7:5. how many girls were there in the club at first?
3) In a concert hall, the ratio of the no. of females to the no. of male was 5:6. the ratio of the girls to the no. of women was
2:3. the ratio of the no. of boys to the no. of men was 3:4. if there were 120 more men than women, how many people
were there altogether?Thanks!
1)
5/9 tables + 2/7 chairs = 44 furnitures ----- (1)
9/9 tables + 7/7 chairs = 120 furnitures
45/9 tables + 35/7 chairs = 600 furnitures ----- (2)
( This means 5 times the current amount of tables and chairs )
From (1), 45/9 tables + 18/7 chairs = 396 furnitures ----- (3)
From (2) and (3), 17/7 chairs = 600 - 396 = 204 furnitures
== > 1/7 chair = 12 furnitures ----- (4)
4/9 tables are made of wood
From (1) and (4), 5/9 tables = 20 tables
Hence 4/9 tables = 16 tables
2)
Original amount of girls = 5 units
[3 units + 5] / [5 units + 3] = 5/7
==> 25 units + 15 = 21 units + 35
==> 4 units = 20 children
==> 1 unit = 5 children
Original amount of girls = 5 X 5 = 25 girls
3)
M = Man, W = Woman, B = Boy, G = Girl
Man lMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMlMl
Boy lBlBlBlBlBlBlBlBlBlBlBlBlBlBlBlBlBlBl
Woman lWlWlWlWlWlWlWlWlWlWlWlWlWlWlWlWlWlWlWlWlWl
Girl lGlGlGlGlGlGlGlGlGlGlGlGlGlGl
In short, the ratio of Man to Woman to Boy to Girl is 24:21:18:14
24 units - 21 units = 3 units = 120 people
==> 1 unit = 40 people
Total = 77 units = 3080 people
Thanks! I been posting at a lot of websites and they all give me algebra answers.Thanks!