Jackson Middle School has 5 students in choir for every 1 student in band. If there are 47 students in band, how many students a
re in choir?
2 answers:
Answer:
235 (Option B)
Step-by-step explanation:
<u>GIVEN :-</u>
- There are 5 students in a choir for every 1 student in band.
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<u>TO FIND :-</u>
- Number of students in choir if there are 47 students in band.
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<u>SOLUTION :-</u>
5 students in choir ⇔ 1 student in band. It can be also written as :-
⇒ 1 student in band ⇔ 5 students in choir
- Now , multiply 47 to both sides.
⇒ (1 × 47) students in band ⇔ (5 × 47) students in choir
⇒ 47 students in band ⇔ 235 students in choir.
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<u>CONCLUSION :-</u>
There are 235 students in the choir.
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Proportional Relationships
If the variables x and y are in a proportional relationship, then:
y = kx
Where k is the constant of proportionality that can be found as follows:
If we are given a pair of values (x, y), we can find the value of k and use it to fill the rest of the table.
For example, Table 1 relates the cost y of x pounds of some items. We are given the pair (2, 2.50). We can calculate the value of k:
Now, for each value of x, multiply by this factor and get the value of y. For example, for x = 3:
y = 1.25 * 3 = 3.75
This value is also given and verifies the correct proportion obtained above.
For x = 4:
y = 1.25 * 4 = 5
For x = 7:
y = 1.25 * 7 = 8.75
For x = 10:
y = 1.25 * 10 = 12.50
Now for table 2, we are given the pair (3, 4.5) which gives us the value of k:
Apply this constant for the rest of the table.
For x = 4:
y = 1.5 * 4 = 6
For x = 5:
y = 1.5 * 5 = 7.50
For x = 8:
y = 1.5 * 8 = 12
The last column doesn't give us the value of x but the value of y, so we need to solve for x:
For y = 15: