Answer please struggling

Mathematics

1 answer:

Julli [10]3 years ago

8 0

Answer:

x ≈ 28.2

Step-by-step explanation:

Δ CAB ≅ Δ CDE then corresponding sides are in proportion, that is

$\frac{CA}{CD}$ = $\frac{CB}{CE}$ , substitute values

$\frac{14+x}{x}$ = $\frac{18.7+9.3}{18.7}$ = $\frac{28}{18.7}$ ( cross- multiply )

28x = 18.7(14 + x) ← distribute

28x = 261.8 + 18.7x ( subtract 18.7x from both sides )

9.3x = 261.8 ( divide both sides by 9.3 )

x ≈ 28.2 (to the nearest tenth )

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A)
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B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
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We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

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25x + 2y = 97.50
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