Question

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.

Answer 1

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 2

Dana will have to spend $47.67.

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
`(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*0.25=10.75` dollars

Cost of yellow bulbs =
`49*0.25=12.25` dollars

Cost of green bulbs =
`66*0.25=16.5` dollars

After 30% off, the price becomes:
`16.5-(0.30*16.5)=11.55` dollars

Cost of blue bulbs =
`75*0.25=18.75` dollars

After 30% off, the price becomes:
`18.75-(0.30*18.75)=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.