Bashir has a toy car collection. He keeps some in a display case and the rest on the wall. 136 of his toy cars are on the wall, and 15% of his toy cars are in the display case. What is the total number of toy cars in Bashir's collection?

Respuesta :

The total number of toy cars in Bashir's collection according to the description is; 160 toy cars.

What is the total number of cars in Bashir's collection?

It follows from the task content that 15% of Bashir's collection are in the display case.

Hence, the inference which can be drawn from the statement is that; 85% of Bashir's car are on the wall.

Consequently, 85% of Total = 136.

(85/100) × Total = 136

Total = (136 × 100)/85

Total = 160 toy cars.

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The total number of toy cars in Bashir's collection is 160

Solving linear equations

From the question, we are to determine the total number of toy cars in Bashir's collection

Let the total number of toy cars in Bashir's collection be x

From the given information,

"136 of his toy cars are on the wall, and 15% of his toy cars are in the display case"

That is,

x = 136 + 15% of x

Now, solve for x

x = 136 + 15% of x

x = 136 + 0.15×x

x = 136 + 0.15x

Collect like terms

x - 0.15x = 136

0.85x = 136

Divide both sides 0.85

0.85x/0.85 = 136/0.85

x = 160

Hence, the total number of toy cars in Bashir's collection is 160

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