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myrzilka [38]
3 years ago
5

Dana needs 300 pickets for her colorful picket fence. She wants equal amounts of each of her 4 selected colors. She already has

32 red, 26 green, 9 yellow and no blue. How many more of each color does Dana need to buy? If the bulbs cost 25 cents and you get 20% off if you purchase 50 or more of the same color and 30% off if you purchase 60 or more of one color, how much does Dana need to spend? Show your work.
Mathematics
2 answers:
Pavlova-9 [17]3 years ago
7 0

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)

Sophie [7]3 years ago
7 0

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 \frac{300}{4}=75 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 = 75-32=43

Yellow = 75-26=49

Green = 75-9=66

Blue = 75-0=75

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 = 43\times0.25=10.75 dollars

Cost of yellow bulbs = 49\times0.25=12.25 dollars

Cost of green bulbs = 66\times0.25=16.5 dollars

After 30% off, the price becomes: 16.5-(0.30\times16.5)=11.55 dollars

Cost of blue bulbs = 75\times0.25=18.75 dollars

After 30% off, the price becomes: 18.75-(0.30\times18.75)=13.125 dollars

Total cost of all bulbs = 10.75+12.25+11.55+13.125=47.675 dollars

Hence, Dana will have to spend $47.67.

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