+0

# Math Questions Help!!

+5
236
3

Forty-five students take piano lessons. The ratio of the numbers of students who take piano lessons to violin lessons is 15:8. The ratio of the numbers of students who take violin lessons to clarinet lessons is 8:9.

a) How many students take violin lessons?

b) How many students take clarinet lessons?

Guest Mar 3, 2017

#1
+321
+5

45/15*8=24

a):24

24/8*9=27

b):27

Davis  Mar 3, 2017
Sort:

#1
+321
+5

45/15*8=24

a):24

24/8*9=27

b):27

Davis  Mar 3, 2017
#2
+82925
+5

Let V be the number who take violin lessons

a) 45 :/ V  =  15 / 8     divide each fraction by 15

3 / V  =  1 / 8     cross-multiply

24  = 1V

24  = V

b)  Let C be the number who take clarinet lessons

8/9  =  V/C

8/9  =  24/C     divide each fraction by 8

1/9 = 3/C    cross-multiply

1C  = 27

C = 27

CPhill  Mar 3, 2017
#3
+18956
0

Forty-five students take piano lessons.
The ratio of the numbers of students who take piano lessons to violin lessons is 15:8.
The ratio of the numbers of students who take violin lessons to clarinet lessons is 8:9.

a) How many students take violin lessons?

$$\begin{array}{|rcll|} \hline && 45\ \text{piano} \cdot \frac{8}{15} \frac{\text{violin}}{\text{piano}} \\ &=& \frac{45\cdot 8}{15}\ \text{violin} \\ &=& 24\ \text{violin} \\ \hline \end{array}$$

b) How many students take clarinet lessons?

$$\begin{array}{|rcll|} \hline && 24\ \text{violin} \cdot \frac{9}{8} \frac{\text{clarinet}}{\text{violin}} \\ &=& \frac{24\cdot 9}{8}\ \text{clarinet} \\ &=& 27\ \text{clarinet} \\ \hline \end{array}$$

heureka  Mar 3, 2017

### 12 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details