The number of dimes inside the bag. Given: A bag contains quarters and dimes in...

hunterofdeath63

hunterofdeath63

Answered

2021-12-18

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

veiga34

veiga34

Expert

2021-12-19Added 32 answers

Calculation:
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,
60.25=24 quarters
Now given that the ratio of quarters and dimes in the bag is 3:5, so it gives
Number of quartersNumber of dimes=35
24x=35
24×5=3×x
120=3x
x=1203
x=40
Thus, there are 40 dimes inside the bag.
Bubich13

Bubich13

Expert

2021-12-20Added 36 answers

Step 1
Given: 60.25=24 quarters
The formula: Number of quartersNumber of dimes=35
24x=35
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.
5×24=3x
Multiply 5 and 24 to get 120.
120=3x
Swap sides so that all variable terms are on the left hand side.
3x=120
Divide both sides by 3.
x=1203
Divide 120 by 3 to get 40.
x=40
nick1337

nick1337

Expert

2021-12-28Added 573 answers

Step 1
For the equation
24x=35
The cross product is
25×5=x×3
Solving for x
x=24×53
And reducing
x=40

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