we know that
The fraction of each tile color can be found by dividing the number of tiles for each tile by the total number of tiles, then simplifying the fraction if possible.
Let
N----------> total number of tiles
Y---------> number of yellow tiles
B--------> number of blue tiles
P--------> number of purple tiles
we have

<u>1) Find the fraction of yellow tiles</u>
we know that
the fraction of yellow tiles is equal to

substitute the values

<u>2) Find the fraction of purple tiles</u>
we know that
the fraction of purple tiles is equal to

substitute the values

<u>3) Find the fraction of yellow tiles or purple tiles</u>
we know that
the fraction of yellow tiles or purple tiles is equal to

therefore
<u>the answer is</u>

511 divided by 7 is the unit rate. So a is how you get it but d is the answer
We need 6.5% to a decimal so..
6.5% /100 = 0.065
$21.30 X 0.065 = 1.3845 tax on the shirt
So.. we add the price of the shirt, and the amount of tax on the shirt
$21.30 + 1.3845 = $22.6845
Answer = $22.68
In order to find the number of hats, multiply all the choices together, disregarding size:
4 * 4 * 7 <-- 4 styles * 4 stitches * 7 yarns
= 16 * 7 = 112
112 different hats can be made.