Question

Indiras spring garden has half as many tulips as daffodils and three times as many hyacinths as tulips if there are a total of 204 flowers in indiras garden how many of each flower does she have

Answer 1

Using a system of equations, it is found that:

• She has 34 tulips.
• She has 38 daffodils.
• She has 102 hyacinths.

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This question is solved using a system of equations, considering that:

• x is the number of tulips.
• y is the number of daffodils.
• z is the number hyacinths.

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• Half as many tulips as daffodils, thus: $x = \frac{y}{2}$, or $y = 2x$
• Three times as many hyacinths as tulips, thus $z = 3x$
• Total of 204, thus $x + y + z = 204$

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• We have y and z as functions of x, thus we can replace into the third equation and find the amount of tulips.

$x + y + z = 204$

$x + 2x + 3x = 204$

$6x = 204$

$x = \frac{204}{6}$

$x = 34$

She has 34 tulips.

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• With the number of tulips, we can find the number of daffodils and hyacinths.

$y = 2x = 2(34) = 38$

$z = 3x = 3(34) = 102$

She has 38 daffodils.

She has 102 hyacinths.

A similar problem is given at brainly.com/question/17096268