Respuesta :
Dana would need 75 pickets of each color to have an equal amount.
75x4=300
She would need 43 more red pickets to equal 75. (32+43=75)
49 more green pickets to equal 75 (26+49=75)
66 more yellow pickets to equal 75 (9+66=75)
75 blue pickets to equal 75. (0+75=75)
Answer:
Dana will have to spend $47.67.
Step-by-step explanation:
Dana needs 300 pickets for her colorful picket fence.
As she needs equal amount for 4 colors, so for each color she will need [tex]\frac{300}{4}=75[/tex] bulbs
She already has 32 red, 26 yellow, 9 green and no blues. She wants equal amounts of each of her 4 selected colors.
So, additional number of bulbs she needs are :
Red = [tex]75-32=43[/tex]
Yellow = [tex]75-26=49[/tex]
Green = [tex]75-9=66[/tex]
Blue = [tex]75-0=75[/tex]
Now, cost of 1 bulb = $0.25
You get 20% discount if you purchase 50 or more bulbs of the same color and 30% off if you purchase 60 or more of one color.
Cost for red bulbs = [tex]43\times0.25=10.75[/tex] dollars
Cost of yellow bulbs = [tex]49\times0.25=12.25[/tex] dollars
Cost of green bulbs = [tex]66\times0.25=16.5[/tex] dollars
After 30% off, the price becomes: [tex]16.5-(0.30\times16.5)=11.55[/tex] dollars
Cost of blue bulbs = [tex]75\times0.25=18.75[/tex] dollars
After 30% off, the price becomes: [tex]18.75-(0.30\times18.75)=13.125[/tex] dollars
Total cost of all bulbs = [tex]10.75+12.25+11.55+13.125=47.675[/tex] dollars
Hence, Dana will have to spend $47.67.