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find the value of y using the type of proportion indicated.

1. y:8 = 16:4 (direct proportion)
2. 24:y = 12:22 (inverse proportion)
3. 20:14 = y:20 (inverse proportion)
4. 90:24 = y:72 (direct proportion)
5. 2y + 3y + 5y = 50 (partitive proportion)​

Sagot :

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Answer:

1. [tex]y=32[/tex]

2. [tex]y=44[/tex]

3. [tex]y = 28.571428571429[/tex]

4. [tex]y = 270[/tex]

5. [tex]y=5[/tex]

Step-by-step explanation:

1. [tex]y : 8 = 16 : 4[/tex]

[tex]y/8 = 16/4[/tex]

[tex]8 * (y/8) = (16/4) * 8\\y = (16/4) * 8[/tex]

[tex]y = 8 * (16/4)\\y = 32[/tex]

Therefore:

[tex]32 : 8 = 16 : 4[/tex]

2.[tex]24 : y = 12 : 22[/tex]

[tex]y/24 = 22/12[/tex]

[tex]24 * (y/24) = (22/12) * 24\\y = (22/12) * 24[/tex]

[tex]y = 24 * (22/12)\\y = 44[/tex]

Therefore

[tex]24:44 = 12:22[/tex]

3.[tex]20 : 14 = y : 20[/tex]

[tex]20/14 = y/20[/tex]

[tex]20 * (20/14) = (y/20) * 20\\20 * (20/14) = y[/tex]

[tex]y = 20 * (20/14)\\y= 28.571428571429[/tex]

Therefore:

[tex]20 : 14 = 28.571428571429 : 20[/tex]

4. [tex]90 : 24 = x : 72[/tex]

[tex]90/24 = y/72[/tex]

[tex]72 * (90/24) = (y/72) * 72\\72 * (90/24) = y[/tex]

[tex]y = 72 * (90/24)\\y = 270[/tex]

Therefore:

[tex]90 : 24 = 270 : 72[/tex]

5. [tex]2y + 3y + 5y = 50[/tex]

[tex](2y+3y+5y)=50[/tex]

[tex]10y=50[/tex]

[tex]10y/10 = 50/10[/tex]

[tex]y=5[/tex]