Mr. Bala paid $1161 for an equal number of files and highlighters. Each file cost $1.50 and each highlighter cost $1.30 more than a file. How many files did he buy?

To solve the problem, we need to find out how many files Mr. Bala bought. Let's break down the problem step by step.

Understand the Costs:


Each file costs $1.50 .

Each highlighter costs $1.30 more than a file, so each highlighter costs $1.50 + $1.30 = $2.80 .



Set Up the Equation:


Let x be the number of files and also the number of highlighters (since the number of files and highlighters is equal).

The total cost for the files is 1.50 x .

The total cost for the highlighters is 2.80 x .

The total amount paid by Mr. Bala is $1161 .



Write the Equation: 1.50 x + 2.80 x = 1161

Combine Like Terms: 4.30 x = 1161

Solve for x :



Divide both sides by 4.30 to find x :
x = 4.30 1161 ​

Calculating the division gives: x ≈ 270


So, Mr. Bala bought 270 files .

Answered by DanielJosephParker | 2025-07-06

Mr. Bala bought 270 files. Each file costs $1.50, and each highlighter costs $2.80. The total he spent is $1161 for an equal number of files and highlighters.
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Answered by DanielJosephParker | 2025-07-15