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saw5 [17]
3 years ago
6

Kathie spent $45 on a fruit salad. She bought bananas, mangoes, and apples. Bananas cost $1 per pound, mangoes cost $3 per pound

, and apples cost $2 per pound. Identify the linear equation in three variables that represent this situation.
Mathematics
2 answers:
Sphinxa [80]3 years ago
6 0

Answer:

X * 1 + Y * 3 + Z * 2 = 45

Step-by-step explanation:

we will use bananas, apples and mangoes as the unknowns of the equation.

The value that you multiply to the unknowns will be multiplied by the price that corresponds to it.

These 3 products must be added to result in the total value that is 45.

X * 1 + Y * 3 + Z * 2 = 45

Dennis_Churaev [7]3 years ago
4 0

Answer:

She bought 18 bananas, 23 mangoes and 2 apples.

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x+y=11 \\
-x=-y-9 \\ \\
\hbox{substitute the second equation by -1} \\ \\
x+y=11 \\
x=y+9 \\ \\
\hbox{substitute y+9 for x in the first equation} \\ \\
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2y=11-9 \\
2y=2 \\
y=\frac{2}{2} \\
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x=y+9 \\
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The answer is B.
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