Hi everyone can help to solve this questions? Fractions and ratio concept repeated identity. Thank you!
1) 1/4 of the spectators at a basketball tournament are women. The number of girls is 2/5 the number of women. The number of men is 6 times the number of girls. The number of boys is 770 fewer than the number of men. How many spectators are at the basketball tournament?
Source: RGPS
women : rest of spectators
1 : 4
5 : 20
(2/5) x (1/4) = 2/20 (girls)
6 x (2/20) = 12/20 (men)
20 – 12 – 2 – 5 = 1
12 – 1 = 11
11 units = 770
1 unit = 70
20 units = 1400
Ans : 1400 spectators.
DingleTutors
Hi there,
This question can be solved by a combination of understanding Ratio & Fractions. Drawing a model will help you show this.
| Men | 5u | 5u | 5u |
| Women | 5u | ||
| Girls | 2u | ||
| Boys | ?u |
To find the # of girls:
2/5 x 1/4 =2/20
To find the # of men:
2/20 x 6u = 12/20
To find the # of boys:
20u – (12u + 2u + 5u)= 1u
Take # of Men- Boys to find the extra
12u – 1u = 11u
11units = extra 770 people
1u = 770 ÷ 70 people
20u = 70 x 20 =1400 people
There are 1400 spectators at the basketball tournament altogether! 🙂
ConceptualMaths
W:S G:W M:G
1:4 2:5 6:1
×5| | ×5 ×2 | |×2
5:20 12:2
W->5u
M->12u
G-> 2u
B->20u-5u-12u-2u
= 1u
M-B -> 12u-1u
= 11u
11u = 770
1u=770÷11
=70
Number of spectators = 20u
=20×70
=1400(ans)
