Respuesta :
You can use linear equations and then can solve that system of linear equations to find the number of each type of coin Julio has got in the given condition.
The number of coin that Julio got in his pocket for each type are given as
Number of nickles = 12
Number of dimes = 14
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
How to find how many nickles and how any dimes has Julio got in his pocket?
Let Julio has got x amount of nickels and got y amount of dimes in his pocket. Then by the given description, we have got;
Number of dimes = twice the number of nickle - 10
[tex]y = 2x -10[/tex]
Total amount in his pocket = $2.75
Total amount = amount by x nickles and amount by y dimes
[tex]2.75 = x \times 0.05 + y \times 0.1[/tex] (since one nickle = $0.05, and one dime = $0.1)
Thus, we got system of linear equations for given condition as:
[tex]y = 2x - 10\\0.05x + 0.1y = 2.75[/tex]
Substituting value of y from first equation in the second equation, we get:
[tex]0.05x + 0.1(2x-10) = 2.75\\0.05x + 0.2x - 1 = 2.75\\0.25x = 3.75\\\\x = \dfrac{3.75}{0.25} = 12[/tex]
Thus, there are 12 nickles in Julio's pocket
Putting this value in first equation, we get:
[tex]y = 2x - 10\\y = 2 \times 12 - 10\\y = 24 - 10 = 14[/tex]
Thus,
The number of coin that Julio got in his pocket for each type are given as
Number of nickles = 12
Number of dimes = 14
Learn more about linear equations here:
https://brainly.com/question/13722693
