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Three friends have a total of $85. Mika has ten dollars less than Sasha. Kaiya’s amount of money is three times greater than Mika. How much money does each of them have?

Options:

A) Sasha: $35, Mika: $25, Kaiya: $25
B) Sasha: $40, Mika: $30, Kaiya: $15
C) Sasha: $45, Mika: $35, Kaiya: $15
D) Sasha: $50, Mika: $40, Kaiya: $5

User Binu
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1 Answer

7 votes

Final answer:

The existing options for the distribution of money among Sasha, Mika, and Kaiya do not match the correct calculation based on the problem's constraints. By setting up an equation, Sasha is found to have $25, Mika $15, and Kaiya $45, which is not reflected in the given choices.

Step-by-step explanation:

To solve the problem, let's denote Sasha's amount of money as S. According to the problem, Mika has ten dollars less than Sasha, so Mika's amount is S - $10. Kaiya has three times as much money as Mika, leading us to denote Kaiya's amount as 3(S - $10). It's given that the total amount of money the three friends have is $85. Therefore, we can write the following equation to represent the total:

S + (S - $10) + 3(S - $10) = $85

Combining like terms and simplifying gives us:

5S - $40 = $85

5S = $125

S = $25

Hence, Sasha has $25, Mika has $25 - $10 = $15, and Kaiya has 3($15) = $45.

After reviewing our calculations, it seems that all of the options provided (A, B, C, D) incorrectly state the total amount of money, and they do not reflect the correct distribution based on the relationships described in the problem. As such, none of these options align with the result of our calculation.

User Winnemucca
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8.4k points