Question

PLZ HELP WONT TAKE LONG THX X

These questions relate to this information:
Express Transport Company ordered 20 minibuses (brand new and second-hand) that cost $106,000. The unit cost was $8,000 for the brand new minibuses and $3,500 for the second-hand bus.

How many units of each were ordered?

What was the dollar cost of the second-hand minibuses?

Answer 1

New minibuses = 8 ; second hand minibuses = 12 ; cost of second hand minibuses= $42,000

Explanation:

we can indicaté the brand new ones with x and the second hand ones with y

with the information given we can build a system of two equations

x + y = 20

8000x + 3500y = 106000

we can solve it for example with the substitution method

x = -y+ 20

we can divide each member of the second expression for 100

80x + 35y= 1060

than for 5

16x + 7y = 212

now we can substitute x in the expression

16(-y+20) + 7y = 212

we can now solve the equation

-16y + 320 + 7y = 212

-9y = -108

y = 12 (the number of the second hand mini buses)

we can now substitute y in the first equation and solve it

x = -12 + 20

x = 8 (the number of the new minibuses)

For find the total cost of the second hand minibuses we have just to multiply

3500 x 12 = $42.000

Answer 2

Explanation:

let number of brand new busses = x

let number of secound hand busses = y

from first condition

x + y = 20

x = 20 - y

cost of brand new busses = 8000x

cost of scount hand bus = 3500y

8000x + 3500y = 160000

8000( 20 - y ) + 3500y = 106000

160000 - 8000y + 3500y = 106000

-4500y = -54000

y = 12

x = 20 - y

x = 8