contestada

Rita has one less than three times as many dollars as her friend Jorge. The difference between the amounts the two friends have is less than 99 dollars. How much money does Jorge have?

A. more than $50

B. more than $25

C. less than $25

D. less than $50

Respuesta :

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calculista

Answer:

Option D less than [tex]\$50[/tex]

Step-by-step explanation:

Let

x-------> amount of money that Rita has

y-------> amount of money that Jorge has    

we know that

[tex]x=3y-1[/tex] -------> equation A

[tex]x-y < 99[/tex] ------> inequality B

substitute equation A in inequality B

[tex](3y-1)-y < 99[/tex]  

[tex]2y-1 < 99[/tex]

[tex]2y< 100[/tex]

[tex]y < 50[/tex]

therefore

Jorge have less than [tex]\$50[/tex]