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Cutting Budgets – Reduction Per Department
publish date: 2026/05/07 20:14:23.765969 UTC
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In a cost-cutting effort, a company decides to cut $5,840,000 from its annual budget. All 160 departments will have their budgets reduced by an equal amount.
By how much will each department's budget be reduced? Use a signed number.
Correct Answer
-$36,500
Explanation
Total cut as a signed number: \(-\$5{,}840{,}000\). Divided equally across 160 departments:
\[ -5{,}840{,}000 \div 160 = -36{,}500 \]
Unlike signs → negative. Each department's budget is reduced by $36,500. Check: \(-36{,}500 \times 160 = -5{,}840{,}000\) ✓
Reference
go-math-science.com