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MMLU-Pro / 855 / Suppose that your utility bill for July states that you used 328 kw-hrs of…

Problem

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question

Suppose that your utility bill for July states that you used 328 kw-hrs of electricity and 1400 cu. ft. of natural gas. There is a flat rate of 1.70forthefirst15kw−hours.Differentratesaresetfordaytime,eveningandlate−eveningto8A.M.Youused45hoursat.043perhour,140hoursat1.70 for the first 15 kw-hours. Different rates are set for daytime, evening and late-evening to 8 A.M. You used 45 hours at .043 per hour, 140 hours at .0318 per hour, and 128 hours at .0179 per hour. The charges for gas are: 600 cu. ft. (3.20flatcharge)plus800cu.ft.at3.20 flat charge) plus 800 cu. ft. at .253 per 100 cu. ft. Your phone bill, subject to a 10% federal tax, has a basic charge of 6.27,pluslongdistancecallsat6.27, plus long distance calls at 1.36 and $3.45. Electric, gas, and phone bills are subject to a 6% city tax. What is the total amount of each bill?
Plain-text mathematical notation (without MathML)
Suppose that your utility bill for July states that you used 328 kw-hrs of electricity and 1400 cu. ft. of natural gas. There is a flat rate of 1.70forthefirst15kw−hours.Differentratesaresetfordaytime,eveningandlate−eveningto8A.M.Youused45hoursat.043perhour,140hoursat.0318 per hour, and 128 hours at .0179 per hour. The charges for gas are: 600 cu. ft. (3.20flatcharge)plus800cu.ft.at.253 per 100 cu. ft. Your phone bill, subject to a 10% federal tax, has a basic charge of 6.27,pluslongdistancecallsat1.36 and $3.45. Electric, gas, and phone bills are subject to a 6% city tax. What is the total amount of each bill?
Original LaTeX notation
Suppose that your utility bill for July states that you used 328 kw-hrs of electricity and 1400 cu. ft. of natural gas. There is a flat rate of $1.70 for the first 15 kw-hours. Different rates are set for daytime, evening and late-evening to 8 A.M. You used 45 hours at .043 per hour, 140 hours at $.0318 per hour, and 128 hours at .0179 per hour. The charges for gas are: 600 cu. ft. ($3.20 flat charge) plus 800 cu. ft. at $.253 per 100 cu. ft. Your phone bill, subject to a 10% federal tax, has a basic charge of $6.27, plus long distance calls at $1.36 and $3.45. Electric, gas, and phone bills are subject to a 6% city tax. What is the total amount of each bill?

category

business

options

  1. Electric bill: $9.45, Gas bill: $7.68, Phone bill: $13.50
  2. Electric bill: $8.79, Gas bill: $6.02, Phone bill: $10.94
  3. Electric bill: $10.25, Gas bill: $7.50, Phone bill: $10.00
  4. Electric bill: $15.00, Gas bill: $8.10, Phone bill: $14.22
  5. Electric bill: $13.20, Gas bill: $4.87, Phone bill: $9.68
  6. Electric bill: $5.22, Gas bill: $11.00, Phone bill: $10.38
  7. Electric bill: $12.86, Gas bill: $6.27, Phone bill: $5.53
  8. Electric bill: $10.38, Gas bill: $5.22, Phone bill: $11.00
  9. Electric bill: $11.00, Gas bill: $5.53, Phone bill: $12.86
  10. Electric bill: $6.87, Gas bill: $9.35, Phone bill: $11.76

src

stemez-Business

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Source and history

upstream_id / Original problem ID
855
task_id
6f8f24be-1ade-5ef5-83ae-7d03aaf0f262
task_key
default--test--855
task_revision_id
1
config / split
default / test

Official source

initial import