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ICE Princess25 [194]
3 years ago
5

Jeremy’s fruit stand sells peaches and watermelons. In the first hour the fruit stand is open, 12 bushels of peaches and 5 water

melons are sold for a total of $150. In the second hour, 15 bushels of peaches and 8 watermelons are sold for a total of $198. A bushel of peaches costs p dollars, and a watermelon costs w dollars. Which matrix equation represents the situation?
Mathematics
2 answers:
Elodia [21]3 years ago
9 0

The answer is C

The Matrix:

[12 5] [p] = [150]

[15 8] [w] = [198]

polet [3.4K]3 years ago
3 0
We define the variables:
 p: cost of bushel of peaches
 w: cost of watermelon
 We wrote the system of equations:
 12p + 5w = 150
 15p + 8w = 198
 We can represent the system in matrix form as
 Ax = b
 
Where,
 A = [12 5; 15 8]
 
b = [150; 198]
 
x = [p; w]
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Answer:

<h3>Mass of B in Kg = -558.44kg</h3>

Step-by-step explanation:

LET'S DO THIS!

Total mass of A, B and C = 1.95kg

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Mass of B = 4x the mass of c (4 x C) which is 4c

Mass of C = ? ( let's call it C )

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C = -698.05 ÷ 5

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<h3>To find B now </h3><h3>Remember they said B is 4 times the mass of C and C = -139.61</h3>

therefore B = 4 × -139.61

<h3>B = -558.44 kg </h3>

<h3>To check if we are correct, we add the masses of A, B and C to see if it equals their total mass which is 1.95kg</h3>

<h3>Using your calculator: </h3>

= 700 + ( -558.44 ) + ( -139.61 )

= 700 - 558.44 -139.61

= 1.95 kg

Which makes us CORRECT ✅.

<h3>Hope this helps.</h3><h3>Good luck ✅.</h3>

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