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Answered

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9. Alena and Jake shared 150 pesos in the ratio of 2:3. How much is for Jake?
A. P30
B. P60
C. P90
D. P120​

Sagot :

Answer:

C. P90

Solution:

To find the value of each part, we divide 150 to the total number of parts in the ratio

[tex]\frac{150}{(2+3)} = 30[/tex]

Then multiply 30 to 3 because that is Jake's part in the ratio

30(3) = 90

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Answer:

Jake will receive 90 pesos

Step-by-step explanation:

In this problem, the money will be shared by two people in the ratio 2:3. To find the amount of money they'll receive, first, add the values in the ratio.

= 2 + 3

⇒5

Now, divide the total amount of money by 5.

= 150 ÷ 5

⇒30

=============================

To find Jake's share, multiply 30 by 3 (Jake's part in the ratio).

= 30 × 3

⇒90

Jake will receive Php. 90.

=============================

To find Alena's amount of money to be received, multiply 30 by 2 (Alena's part in the ratio).

= 2 × 30

⇒60

Alena will receive Php. 60.

=============================

To verify the answer, simply add the amount of money each will receive. If the sum is 150, then the answer is correct.

= 60 + 90

⇒150

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