Emily saved 25 coins. She saved quarters and one-dollar coins only. If she had a total of $12.25, how many quarters did she have?

quarters

she has 17 quarters

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of quarters that she saved.

Let y represent the number of one-dollar coins that she saved.

Emily saved 25 coins. This means that

x + y = 25

If she had a total of $12.25, it means that

0.25x + y = 12.25 - - - - - - - - - - - 1

Substituting x = 25 - y into equation 1, it becomes

0.25(25 - y) + y = 12.25

6.25 - 0.25y + y = 12.25

- 0.25y + y = 12.25 - 6.25

0.75y = 6

y = 6/0.75

y = 8

x = 25 - y = 25 - 8

x = 17

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

i think the answer is b. i hope i !