Evaluate the arithmetic expression 7059 − 2350 + 1936, then equate it to ? × 50 and find the value of ?. Show the intermediate sum clearly before dividing by 50.

Difficulty: Easy

Correct Answer: 132.9

Explanation:


Introduction / Context:
This is a straightforward computation problem designed to test order-of-operations and accurate arithmetic. You must first simplify the left-hand side sum and then solve for the unknown factor in the form ? × 50.



Given Data / Assumptions:

  • Expression: 7059 − 2350 + 1936.
  • Equivalent form: ? × 50.
  • Goal: Determine ? from the equality.


Concept / Approach:
Perform the subtraction and addition in sequence. After obtaining the net total, divide by 50 to get the multiplying factor ?. Keep digits aligned to avoid arithmetic slips.



Step-by-Step Solution:

Compute 7059 − 2350 = 4709.Add 1936: 4709 + 1936 = 6645.Set 6645 = ? × 50, hence ? = 6645 / 50.Divide: 6645 / 50 = 132.9.


Verification / Alternative check:
Multiply back: 132.9 × 50 = 6645, exactly matching the simplified left-hand side. This confirms the division and the arithmetic on the sum.



Why Other Options Are Wrong:
123.6, 132.3, 132.6, and 123.9 do not reproduce 6645 when multiplied by 50. Only 132.9 yields the correct original total.



Common Pitfalls:
Adding 2350 instead of subtracting it, or dividing by 5 rather than 50. Some also round prematurely, but the operations here resolve to a terminating decimal exactly.



Final Answer:
132.9

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