Question

A gardener plants flowers. For every 5 tulips, she plants 4 roses. If she plants 117 flowers in total, how many are tulips?



(1 point)
tulips

Answer 1

To solve the problem, we need to set up a ratio based on the provided information. The gardener plants tulips and roses in a ratio of 5 to 4. We can express this in terms of a variable:

Let \( x \) be the common multiplier. The number of tulips is \( 5x \) and the number of roses is \( 4x \).

According to the problem, the total number of flowers (tulips + roses) is 117. So we can set up the following equation:

\[
5x + 4x = 117
\]

This simplifies to:

\[
9x = 117
\]

To find \( x \), we divide both sides by 9:

\[
x = \frac{117}{9} = 13
\]

Now we can find the number of tulips:

\[
\text{Number of tulips} = 5x = 5 \times 13 = 65
\]

Thus, the number of tulips planted by the gardener is \( \boxed{65} \).