We have 2 equations here ( b = cost of bush and t = cost of a tree)
10b + 4t = 246........................................................(1)
5b + 3t = 147 Multiply this equation by -2:-
-10b - 6t = -294.......................................................(2)
Adding equations (1) and (2) we get:-
0 - 2t = - 48
t = -48/-2 = 24
Plug t = 24 into the first equation:-
10b + 4(24) = 246
10b = 246 - 96 = 150
b = 15
The answer is one bush costs $15 and one tree costs $24.
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<u>Answer:</u>
- Greatest number: 98750
- Least number: 5789
<u>Explanation:</u>
<em>To find the greatest number with the following values, we must arrange the numbers in descending form. </em>
<em>=> We can clearly tell that the numbers in descending form is 9 > 8 > 7 > 5 > 0</em>
<u>Hence, the greatest number with the following numbers (5,0,8,9, and 7) will be 98750.</u>
<h3>__________________________________________________</h3>
<em>To find the least number with the following values, we must arrange the numbers in ascending form.</em>
<em>=> We can clearly tell that the numbers in ascending form is 0 < 5 < 7 < 8 < 9</em>
<u>Hence, the least number with the following numbers (5,0,8,9, and 7) will be 5789</u>
Let's let the weight of a large box be L, and the weight of a small box be S.
We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120
We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234
You can multiply the first equation by 3 to get:
15L + 9S = 360
See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75
Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75
Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.
So a large box is 15.75kg, and a small box is 13.75kg.
Hope this helped