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Two numbers are in the ratio of 3:5. Find the bigger number if the sum of the numbers is 240. What type of proportion is being described? *

2 points

A. partitive proportion

B. inverse proportion

C. direct proportion

D. means and extremes



Sagot :

Answer:

A. Partitive Proportion

Step-by-step explanation:

HOW CAN YOU SAY THAT AN EQUATION OR A PROBLEM IS A PARTITIVE PROPORTION?

IT IS A PARTITIVE PROPORTION WHEN A WHOLE IS DIVIDED INTO PARTS THAT IS PROPORTIONAL TO THE GIVEN RATIO.

[tex]240 = 3: 5[/tex]

[tex]3 + 5 = 8[/tex]

equate:

[tex] \frac{8n}{8} = \frac{240}{8} [/tex]

cancel 8 and divide 240 by 8

[tex]240 \div 8 = 30[/tex]

[tex]3n \: (30) = 90 \\ 5n \: (30) = 150[/tex]

[tex]answer: \\ 90: 150[/tex]

to check:

[tex]150 \\ \frac{ + \: \: 90 \: \: \: }{240} [/tex]

150 is the bigger number

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