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2 years ago

The ratio of art class to music class is 4:3. If there is 8 more students in art class, how many students are in music class

Mathematics

1 answer:

pishuonlain [190]2 years ago

6 0

Answer:

9 students in music class.

Step-by-step explanation:

In art there are 4 and since there are 8 more 8 + 4 = 12. so there are 12 in Art.

4 x _ = 12. —> 4 x 3 = 12.
so we need to do the same for music class.

For music there are 3.
so we multiply by 3 like we did with the 4.

3 x 3 = _ —> 3 x 3 =9.
so there are 9 students in music class.

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Solution:

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

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Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

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Another day she sold 16 ribeye steak dinners and 6 grilled salmon dinners, totaling $584.46

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

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Let us solve eqn 1 and eqn 2

Multiply eqn 2 by 2

32a + 12b = 1168.92 ------- eqn 3

Subtract eqn 1 from eqn 3

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( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

$a = 28.96 \approx 29$

Substitute a = 29 in eqn 1

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Divide both sides by 12

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Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

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