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Blake bought a total of 24
doughnuts. Each doughnut cost
$0.84, including tax. Of the
doughnuts he bought, 5/8 were
glazed doughnuts. What was the
total cost of the glazed doughnuts?

Respuesta :

mochanell225
5/8 = 0.625 = 62.5%

If 62.5% were glazed then you must find 62.5% of 24.

Equation…

x=0.625(24) = 15

if each costs $0.84 cents plus tax then you will multiply by 15.

15 x .84 = 12.6

The total cost was $12.60

Answer:

$27.60

Step-by-step explanation:

Step 1: Find 5 over 8 of 24

[tex]\frac{5}{8}[/tex] doughnuts were glazed. So the total is 24. Now we just have to find 5 over 8 of the total.

[tex]\frac{5}{8} \times 24[/tex]

Or

[tex]\frac{5}{8} \times \frac{24}{1}[/tex]

Cross divide 8 and 24

[tex]24\div 8 = 3\\\\\frac{5}{1} \times \frac{3}{1}[/tex]

So we are left with

[tex]5\times 3[/tex]

Remember, "1" doesn't change anything.

Simplify

[tex]5\times 3 = 15[/tex]

Therefore, the cost of the glazed doughnuts WITHOUT TAX is $15.

Step 2: Add the tax to the cost of the glazed doughnuts.

[tex]\$0.84[/tex]

To find the tax or sales tax, just multiply the sales tax (in decimal form, but it already is) to the total.

[tex]15\times \:0.84=12.60[/tex]

Now, add the result to the total.

[tex]12.60+15.00 = 27.60[/tex] (you don't have to add the zeros, but it still won't change anything)

The total cost of the glazed doughnuts is $27.60

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