PROBLEM SOLVING — HELP PLEASE =] ?
1… a collection of 5 cent coin , 10 cent coin ,and 25 cent coin amounts to Php 42.40 . The total number of coins is 34 . There are twice as many 10 cent coin as 25 cent coins and four more 5 cent coin than 25 cent coin . how many coins of each kind are there?
2… A wallet contains the same number of pennies,nickels,and dimes . The coins total $1.44 . How many of each types of coin does the wallet contain
3…. Jake and Jack use a metal alloy that is 24.9% copper to make jewelry . How many ounces of a 20% alloy must be mixed with a 27% alloy to form 100 ounces of the desired alloy
4….. A tank at a marine exhibit contains 2000 gallons of sea water . The sea water is 7.5% salt. How many gallons of fresh water must be added to the tank so that the mixture contains only 7% salt
=]
1) Lets say that there are x number of 10 cent coins. There are twice as many 25 cent coins (2x) and there are four more 5’s than 25’s (2x+4). There are 34 coins in total therefore x+2x+(2x+4)=34
5x+4=34
5x=30
x=6
So our ‘x’ number of coins is actually 6. This means there are six 10 cent coins, twice that many 25 cent coins, so twelve, and the 25’s plus four so sixteen 5 cent pieces. No idea what Php 42.40 means
3) I only worked this one out through trial and error. Basically i multiplied 24.9 by ten (to get 249) and then kept subtracting 27 until i got a multiple of 20.
so 249 – 27 = 222
- 27 = 195
- 27 = 168
- 27 = 141
- 27 = 114
- 27 = 87
- 27 = 60
since 60 is a multiple of 20 i can now divide by 20. I subtracted 7 lots of 27 and ended up with 3 lots of 20. I can therefore conclude that the ratio of those alloys must be 7:3. Since i need 100 ounces, 100/(7+3) = 10. 7*10 = 70. 3*10 = 30. So i would need 70 ounces of the 27% mixed with the 30 ounces of the 20%.
Like i said, it’s really trial and error. If anyone can improve on that, it would be handy
4) If it contains 2000 gallons, 7.5% of which is salt, then there are (2000*7.5%) gallons of salt = 150. If 150 gallons is to be 7% then the total amount of water must be (150/7)*100 which equals 2143 gallons. Subtract from this the starting number of 2000 will give you 143. Therefore 143 gallons of fresh water were added
P.S. I’m Australian so I don’t know anything about pennies, nickels and dimes
Metal Detecting Silvers in a field of wheats #5 in 2010 with DirtFish Dave the 219erman .MOV
| | 250 WHEAT CENTS IN 2 BY 2 FLIPS LOT MIXED WHEAT PENNY SET LOW STARTING BID #1 $59.95 |
| | 950 mixed 1950-1958 Lincoln Wheat Cent Pennies with DuraClear Coin Tubes $10.00 |
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| | THREE (3) MIXED GOLD PLATED WHEAT CENT PENNIES 1c COINS $0.48 |
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| | 50 mixed 1920-1929 Lincoln Wheat Cent Pennies with DuraClear Coin Tube $0.50 |
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| | LOT OF TEN – INDIAN HEAD PENNIES 1c CENT MIXED DATES CIRCULATED COINS FULL DATES $12.95 |
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| | (25) Mixed Lot ~ INDIAN HEAD CENT PENNIES ~ $11.15 |
| | THREE (3) MIXED GOLD PLATED WHEAT CENT PENNIES 1c COINS $0.48 |
| | 1930-1939 MIXED PHILLLY LINCOLN WHEATS PENNIES 50 CENTS 1 ROLL $5.95 |
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| | (25) Mixed Lot ~ INDIAN HEAD CENT PENNIES ~ $17.49 |
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| | Lot: 40 Mixed Date Indian Head Cents/Pennies Circulated, 1859-1908 $21.50 |
| | one roll of mixed steal wheat cents 50 WAR TIME WHEAT PENNIES ONE ( 1 ) ROLL!!!! $8.00 |
| | (25) Mixed Lot ~ INDIAN HEAD CENT PENNIES ~ $0.73 |
| | “ONE POUND” UNSEARCHED WHEAT PENNIES–INDIAN CENTS MIXED TOGETHER & KEAN BONUS $10.99 |
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| | LOT OF 8 1903, 1904, 1905 AND 1906 MIXED LOT INDIAN HEAD PENNYS, CENT, PENNY $5.95 |
| | LINCOLN CENTS MIX DATE BANK WRAP BOX 50 ROLLS PENNIES $29.95 |
| | (25) Mixed Lot ~ INDIAN HEAD CENT PENNIES ~ $0.95 |
| | (50) Mixed Lot ~ INDIAN HEAD CENT PENNIES ~ 1880’s – 1900’s $34.99 |
| | “ONE POUND” UNSEARCHED WHEAT PENNIES–INDIAN CENTS MIXED TOGETHER & KEAN BONUS $10.99 |
| | LINCOLN WHEAT PENNY & INDIAN HEAD CENT ROLL~RANDOM MIX~COLLECTOR COINS~RARE !! $20.59 |
| | 5 x New Ballpoint Pens – 1 cent / penny #HB1 – Low Shipping Cost / Mixed Color $0.01 |
| | 150x INDIAN HEAD PENNIES CENTS 1c CENT MIXED FULL DATES CIRCULATED COINS ROLLS $198.00 |
| | (25) Mixed Lot ~ INDIAN HEAD CENT PENNIES ~ $0.01 |
| | LOT OF 1000 BULK MIXED DATED 1C LINCOLN WHEAT 1 ONE CENT PENNY COIN $10 FACE BAG $27.50 |
| | 1935 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1936 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1937 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1938 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $6.05 |
| | 1939 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1940 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1941 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $8.27 |
| | 1942 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $11.07 |
| | 1944 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $11.07 |
| | 1945 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $3.55 |
| | 1946 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1947 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $6.50 |
| | 1948 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1949 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1950 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1951 & 1952 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1953 & 1954 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1955 PDS Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | 1956PD 57PD 58PD Lincoln Cent Penny Set – Mixed Red BU Condition $0.99 |
| | Roll of 50 1943 Lincoln Cent Pennys – Mixed Condition $2.25 |
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| | 100 MIXED DATE CENTS WHEAT EAR PENNY COIN COLLECTION VINTAGE COPPER OLD RARE LOT $10.99 |
