Solve the following problems:

A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver and white cars. During the next month, 70 percent. of the black cars, 80 percent of the blue cars, 30 percent of the silver cars and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month?

Created: 1 month ago | Updated: 2 weeks ago

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$L e t, t h e n u m b e r o f t o t a l c a r s i s 60$

$W h e r e a s, t h e n u m b e r o f b l a c k c a r s i s 30$

$A n d t h e n u m b e r o f b l u e c a r s i s 10$

$A n d t h e n u m b e r o f s i l v e r c a r s i s 10$

$A n d t h e n u m b e r o f w h i t e c a r s i s 10$

$∴ T o t a l c a r i n i t i a l l y = 30 + 10 + 10 + 10 = 60$

$D u r i n g t h e n e x t m o n t h, B l a c k c a r s s o l d 70 % o f 30 = 21$

$∴ B l u e c a r s s o l d 80 % o f 10 = 8 ∴ S i l v e r c a r s s o l d 30 % o f 10 = 3$

$∴ W h i t e c a r s s o l d 40 % o f 10 = 4 ∴ T h e n u m b e r o f s o l d c a r s = 21 + 8 + 3 + 4 = 36$

$∴ T h e p e r c e n t a g e o f c a r s i n t h e s h i p m e n t w e r e s o l d d u r i n g t h a t m o n t h = (\frac{36}{60} \times 100) % = 60 %$

Answer: 60%

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A triangular plot with sides of 25 feet, 40 feet and 55 feet is to surround by a fence built on pillars set 5 feet apart. How many pillars will be required to surround the plot?