High School

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Soro bought a $50.00 bus card at the beginning of the week. Each bus ride costs $2.50. He needs to have at least $20.00 on his card at the end of the month.

To determine how many bus rides he can take between now and the end of the month, Soro wrote and solved the following inequality:

1. \(50 - 2.5x \geq 20\)
2. \(-2.5x \geq -30\)
3. \(x \geq 12\)

What error, if any, did Soro make when writing or solving this inequality?

Answer :

Soro's mistake was not distributing the 2.5 to both the $50 and the x terms.

Soro made an error in writing and solving the inequality to determine how many bus rides he can take before the end of the month.

The correct inequality should represent the amount of money remaining on his bus card after taking x bus rides, which needs to be greater than or equal to $20.

However, Soro incorrectly wrote [tex]\( 50 - 2.5x \geq 20 \)[/tex] instead of [tex]\( 50 - (2.5 \times x) \geq 20 \).[/tex]

This error led to the incorrect solution [tex]\( x \geq 12 \).[/tex]

The correct solution should be [tex]\( x \leq \frac{50 - 20}{2.5} = \frac{30}{2.5} = 12 \).[/tex]

So, Soro's mistake was not distributing the 2.5 to both the $50 and the x terms.

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Rewritten by : Barada

Answer:

Soro did not make any erro

Step-by-step explanation:

Soro bought a $50.00 bus card at the beginning of the week. Each bus ride costs $2.50. He needs to have at least $20.00 on his card at the end of this month.

Let her number of rides he can take be written as x

$50 - $2.50 × x ≥ $20

50 - 2.5x ≥ 20

-2.5x ≥ 20 - 50

-2.5x ≥ -30

x ≥ -30/-2.5

x ≥ 12 rides

Soro did not make any error