1,.A bag contains some $5 and $10 coins. There are altogether 120 coins in the bag and the total amount is$810.Find the number of $5 coins and that of $10 coins in the bag.
Let A be the number of $10 coins.
so,the bag have(120-A) $5 coins .
10A+5(120-A)=810
10A+600-5A=810
5A=810-600
A=210/5
A=42
Therefore,there are42 $10 coins and
(120-42) $5 coins
=78 $5 coins
Let x be the no. of $5 coins, then y b the no. of $10 coins.
Two equations
5x+10y=810......1
x+y=120......2
From 2, x=120-y......3
sub 3 into 1, 5(120-y)+10y=810
600-5y+10y=810
5y=810-600
5y=210
y = 42
Sub y=42 into 3
x=120-42
x=78
Therefore the no. of $5 coins and that of $10 coins are 42 and 78 respictively.
Llet the no of $5 and $10 coins be x and y respectively
x+y=120--------(1)
5x+10y=810----(2)]
(2)/5: x+2y=162----(3)
(3)-(1): y=42
x+42=120
x=78
Thetre are 78 $5 and 42$10 coins in the bag.