Respuesta :
Answer:
1725 is the maximum number of sets that can be assembled .
45,771.15 grams is the total mass of the assembled sets of coins.
Explanation:
Each set is made up of three quarters, one nickel, and two dimes.
3 quarters + 1 nickles + 2 dimes = 2 set
Mass of 1 quarter = 5.645 g
Number of quarters in 33.871 kg that is in 33,871 g:
[tex]\frac{ 33,871 g}{5.645 g}=6000[/tex] quarters
Mass of 1 nickel= 4.967 g
Number of nickles in 10.432 kg that is in 10,432 g:
[tex]\frac{ 10,432 g}{4.967 g}=2100[/tex] nickels
Mass of 1 dimes = 2.316 g
Number of dimes in 7.990 kg that is in 7,990 g:
[tex]\frac{ 7,990 g}{2.316 g}=3,450[/tex] dimes
3 quarters are in 1 set then 6000 quarters will be in:
[tex]\frac{1}{3}\times 6000=2000[/tex] sets
1 nickel is in 1 set then 2100 nickel will be in:
[tex]\frac{1}{1}\times 2100=2100[/tex] sets
2 dimes are in 1 set then 3450 dimes will be in:
[tex]\frac{1}{2}\times 3450=1725[/tex] sets
Since, number of dimes present are in limited number so the maximum number of set assembled will depend upon the number of dimes.
Maximum number of set assembled = 1725 sets
Total mass of assembled sets of coins
Mass of 1 set =
=3 × mass of quarter + 1 × mass of nickel + 2 × mass of dime
=3 × 5.645 g + 1 × 4.967 g+ 2 × 2.316 g =26.534 g
Mass of 1725 sets:
1725 × 26.534 g = 45,771.15 g
45,771.15 grams is the total mass of the assembled sets of coins.
