pat has a pocket full of quaters, dimes and nickles. he takes 6 coins out of his pocket that amount to $.70. if there are only two denominations of coins among the 6 coints in pat's hand, how many nickels is he holding?
2
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4
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6
please explain this one to me....thanks
...dont understand this problem
This topic has expert replies
1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
So, total you have collect 70 cents using 6 coins.
So you need 4 nickels + 2 quarter to make 70 cents. None other combination is possible.
Choose answer as 4.
1 dime = 10 cents
1 nickel = 5 cents
So, total you have collect 70 cents using 6 coins.
So you need 4 nickels + 2 quarter to make 70 cents. None other combination is possible.
Choose answer as 4.
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- Gurpinder
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butt...i can have 1quater+1dime+7nickels......y not this one....this still gives u 70 cents???lkm wrote:1 quarter = 25 cents
1 dime = 10 cents
1 nickel = 5 cents
So, total you have collect 70 cents using 6 coins.
So you need 4 nickels + 2 quarter to make 70 cents. None other combination is possible.
Choose answer as 4.
- selango
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1 quarter =25 cents=x
1 dime =10 cents=y
1 nickel =5 cents=z
Total = 70 cents
There are only denominations of coins (ie) only 2 set of coins.the possible scenarios are
A.x+y=6
B.y+z=6
C.x+z=6
Question asks how many nickels?
So one set of coin is nickel.Other is either Quarter or dime.
x+z =6 or y+z=6
Try the first one.
x+z=6
25x+5z=70
Solving x=2,y=4
2 quaters and 4 nickels.
Now try the second one.
y+z=6
10y+5z=70
y=8,z=-2,Not possible.
So only possible combination is 2 quaters and 4 nickels.
Hope this clarify.
1 dime =10 cents=y
1 nickel =5 cents=z
Total = 70 cents
There are only denominations of coins (ie) only 2 set of coins.the possible scenarios are
A.x+y=6
B.y+z=6
C.x+z=6
Question asks how many nickels?
So one set of coin is nickel.Other is either Quarter or dime.
x+z =6 or y+z=6
Try the first one.
x+z=6
25x+5z=70
Solving x=2,y=4
2 quaters and 4 nickels.
Now try the second one.
y+z=6
10y+5z=70
y=8,z=-2,Not possible.
So only possible combination is 2 quaters and 4 nickels.
Hope this clarify.
--Anand--
Denominations in this case, are nothing but the different values of a currency in the bag, in this case:blaster wrote:someone please,help me to understand this sentece.
and red marked word especially.if there are only two denominations of coins among the 6 coints in pat's hand
Quarter =1/4 of a dollar or 0.25
Dime = 1/10 of a dollar or 0.10
Nickel =1/20 of a dollar or 0.05
The stem says that he has in his hand right now any 2 denominations:
Quarters and Dimes
Quarters and Nickels
Dimes and Nickels
Hope this helps.