The number of dimes inside the bag. Given: A bag contains quarters and dimes in...
The number of dimes inside the bag.
Given: A bag contains quarters and dimes in a ratio of 3:5 and there is $6 in quarters in the bag.
Answer & Explanation
Let the number of dimes in the bag be x.
Given that the quarters in the bag make $6. SInce 1 quarter is equivalent to $0.25, so the total number of quarters in the bag would be,
Now given that the ratio of quarters and dimes in the bag is 3:5, so it gives
Thus, there are 40 dimes inside the bag.
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.
Multiply 5 and 24 to get 120.
Swap sides so that all variable terms are on the left hand side.
Divide both sides by 3.
Divide 120 by 3 to get 40.
For the equation
The cross product is
Solving for x