#8: Ella's grandmother sewed her a change purse. When she gifted it to her, Ella counted 23 coins already in it. Ella noticed there were only dimes and quarters worth $4.70. How many dimes were in the change purse?*​

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Step-by-step explanation:

We can let d represent the number of dimes. Then the number of quarters is 23-d, and the total value of the change is ...

  0.10d + 0.25(23 -d) = 4.70

  -0.15d + 5.75 = 4.70

  1.05 = 0.15d . . . . . . . . add 0.15d -4.70 to both sides

  7 = d . . . . . . . . . . . . . . divide by 0.15

There were 7 dimes in the change purse.

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There were 23-7 = 16 quarters.

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answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.