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Money-Related Problems: CE 1111: Mathematics of Engineering 1

1. The document contains several word problems from mathematics of engineering involving money, mixtures, clocks, work, and simple interest. The problems provide quantitative information and ask the reader to calculate unknown values. 2. Example problems include calculating the amount of money and number of bills left after people borrow specific amounts, determining the maximum amount a couple can spend at a restaurant including tax and tip, and figuring out concentrations and amounts when mixtures of different percentages are combined. 3. The problems cover a variety of mathematical concepts and provide practice applying concepts like ratios, proportions, percentages, and unit conversions to real-world scenarios.

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JHONIA MEJIA
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408 views1 page

Money-Related Problems: CE 1111: Mathematics of Engineering 1

1. The document contains several word problems from mathematics of engineering involving money, mixtures, clocks, work, and simple interest. The problems provide quantitative information and ask the reader to calculate unknown values. 2. Example problems include calculating the amount of money and number of bills left after people borrow specific amounts, determining the maximum amount a couple can spend at a restaurant including tax and tip, and figuring out concentrations and amounts when mixtures of different percentages are combined. 3. The problems cover a variety of mathematical concepts and provide practice applying concepts like ratios, proportions, percentages, and unit conversions to real-world scenarios.

Uploaded by

JHONIA MEJIA
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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CE 1111: Mathematics of Engineering 1

TLO 5

MONEY-RELATED PROBLEMS 3. A 700-pound alloy containing 50% tin and 25% lead is
to be added with amounts of pure tin and pure lead to
1. Dennis has P50, P100, and P200 paper bills amounting make an alloy which is 60% tin and 20% lead. Determine
to P20,300. Delio borrowed 14 pieces of P50 bills so that how much pure tin must be added.
the total amounts of P50 and P100 bills are equal. Donalyn
also borrowed 11 pieces of P200 bills so that the total 4. How much water must be evaporated from 12 liters of
amounts of the remaining P200 and P100 are equal. How 3 kg/L salt solution until the concentration becomes 3.60
many paper bills were left? kg/L?

2. A couple does not wish to spend more than P700 for 5. A container is filled with 70 liters which is 40%
dinner at a restaurant. If a sales tax of 6% is added to the alcohol by volume. How much of a mixture must be taken
bill and they plan to tip 15% after the tax has been added, and then replaced with equal amount of water so that the
what is the most they can spend for the meal? resulting solution is 30% alcohol by volume?

3. A man is paid P200 for each day he works and forfeits CLOCK PROBLEMS
P50 for each day he is idle. At the end of 25 days he nets
P4500. How many days did he work? 1. At what time between 4:00 PM and 5:00 PM will the
hands of the clock be coincident?
4. Kryse has 56 coins consisting of 10-peso and 5-peso
coins. If she has a total of Php 440.00, how many coins of 2. In how many minutes after 2 o’clock will the hands of
each type does she have? the clock extend in opposite directions for the first time?

SIMPLE INTEREST PROBLEMS 3. In how many minutes after 10 o’clock will the hands of
the clock be perpendicular for the first time?
1. A retired government employee invested P25,000 of
his retirement pay at 16% per annum. He found another 4. Find the angle between the hands of the clock at 3:43
investment opportunity at 20% per annum where he PM.
invested the rest of his retirement pay. If he realized a total
yearly income of 19% on his two investments, what has his
retirement pay? WORK PROBLEMS
2. A man, speculating in real estate, invested P300,000 in 1. Popoy can dig a ditch in 4 hours. John can dig the same
two land developments. One investment yields 12% and in 3 hours. How long would it take them to dig it together?
the yearly income from this is P3,600 more than the other
investment which yields 18%. How much was the total 2. A can do a piece of work alone in 30 days, B in 20 days,
annual income? and C in 60 days. If they work together, how many days
would it take them to finish the work?
3. A sum of money of simple interest amounted to P7,800
after five years and P8,840 after nine years. Find the 3. If Paolo can do his chores in ¾ of an hour, and if
amount of the money after 15 years. Miriam and Paolo together can do them in ½ of an hour,
how long will it take Miriam to do it alone?
MIXTURE PROBLEMS
4. A gardener can mow a lawn in 3 hours. After 2 hours,
1. A 50 mL 40% acid solution is added to a 50 mL 30% it rained and he discontinued the work. In the afternoon, a
acid solution. What will be the concentration of the girl completed the rest of the work in 1 hour and 15
resulting mixture? minutes. How long would it take the girl to mow the lawn
alone?
2. How much of a 90% solution of insect spray must a
farmer add to 200 cc of a 40% insect spray to make a 50%
solution of insect spray?

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