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NISA [10]
3 years ago
10

in a choir the ratio of men to woman is 4:7. 25% of the men prefer classical songs, and 80% of the women prefer classical songs.

What percentage of the choir prefer classical songs?
Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

60%

Step-by-step explanation:

percentage of men in the choir = (4/11) x 100 = 36.4%

percentage of women in the choir = (7/11) x 100 = 63.6%

Percentage of men in the choir that prefer classical songs =  36.4 x0.25 = 9.1%

Percentage of women in the choir that prefer classical songs = 0.8 x 63.6% = 50.9%

percentage of the choir prefer classical songs = 50.9% + 9.1% = 60%

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Jackson went into a movie theater and bought 8 bags of popcorn (x) and 2 candies (y), costing a total of $58. Cooper went into t
Sophie [7]

Answer:

(a)

8x + 2y = 58

4x + 5y = 49

(b)

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Candy = $5

Step-by-step explanation:

Given

candy = y

popcorn = x

Jackson: x = 8; y= 2; Total = 58

Cooper: x = 4; y= 5; Total = 49

Solving (a): System of equation

For Jackson:

8x + 2y = 58

This is done by multiplying each variable by the quantity.

Same will be applied to Cooper's purchase:

Cooper:

4x + 5y = 49

Solving (b): Price of 1 bag of popcorn and 1 candy

This implies that we solve for x and y

8x + 2y = 58 ----- (1)

4x + 5y = 49 -------- (2)

Multiply the second equation by 2

2(4x + 5y = 49)

8x + 10y = 98 -------- (3)

Subtract the (1) from (3)

8x - 8x + 10y - 2y = 98 - 58

10y - 2y = 98 - 58

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Solve for y

y = 40/8

y = 5

Substitute 5 for y in (1)

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8x + 2 * 5 = 58

8x + 10 = 58

8x = 58 - 10

8x = 48

Solve for x

x = 48/8

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This implies:

Bag of popcorn = $6

Candy = $5

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Step-by-step explanation:

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3 years ago
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