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The table shows the distribution of participation in clubs for 340 students in a school. The clubs listed are Reading, Multimedia (30%), Dancing (25%), Cooking (14%), and Agriculture (16%). We need to calculate: (a) The number of students participating in the Multimedia and Dancing clubs. (b) The total number of students participating in the Multimedia and Dancing clubs. (c) The difference between the number of students participating in the Reading and Multimedia clubs. Note, there is no data given for students participating in Reading.

ArithmeticPercentageWord ProblemData InterpretationProportions
2025/4/26

1. Problem Description

The table shows the distribution of participation in clubs for 340 students in a school. The clubs listed are Reading, Multimedia (30%), Dancing (25%), Cooking (14%), and Agriculture (16%). We need to calculate:
(a) The number of students participating in the Multimedia and Dancing clubs.
(b) The total number of students participating in the Multimedia and Dancing clubs.
(c) The difference between the number of students participating in the Reading and Multimedia clubs. Note, there is no data given for students participating in Reading.

2. Solution Steps

(a) Find the number of students in Multimedia club: 30%30\% of 340=0.30×340=102340 = 0.30 \times 340 = 102
Find the number of students in Dancing club: 25%25\% of 340=0.25×340=85340 = 0.25 \times 340 = 85
(b) Find the total number of students in Multimedia and Dancing clubs.
Total number of students = Number in Multimedia + Number in Dancing
Total number of students = 102+85=187102 + 85 = 187
(c) We don't have the percentage data on number of students in reading club so we cannot answer this question. Assuming 'Reading' is the leftover. Then:
Percentage in Reading = 100−(30+25+14+16)=100−85=15%100 - (30 + 25 + 14 + 16) = 100 - 85 = 15\%
The number of students in Reading club: 15%15\% of 340=0.15×340=51340 = 0.15 \times 340 = 51
Difference between number of students in Reading club and Multimedia club:
∣51−102∣=51|51 - 102| = 51

3. Final Answer

(a) Number of students in multimedia club = 102, Number of students in dancing club =
8

5. (b) 187

(c) Assuming 'Reading' is the leftover, the difference =
5

1. Otherwise cannot be solved.

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