Sonya planted a flower garden of tulips, daisies, and lilies. She planted 2 times as many tulips as daisies and 3 times as many daisies as lilies. Sonya planted 42 tulips. How many flowers did she plant in all? (1 point) Responses 48 flowers 48 flowers 56 flowers 56 flowers 63 flowers 63 flowers 70 flower
Let's use t for tulips, d for daisies, and l for lilies.
We know that t = 2d and d = 3l.
We also know that t = 42 tulips.
Substituting the first equation into the second equation, we get 42 = 2d = 3l.
We can solve for d by dividing both sides of the equation by 2: d = 42/2 = 21 daisies.
Now, we can substitute the value of d into the first equation to find t: t = 2(21) = 42 tulips.
We can also substitute the value of d into the second equation to find l: 21 = 3l.
Solving for l, we divide both sides of the equation by 3: l = 21/3 = 7 lilies.
Therefore, Sonya planted 42 tulips + 21 daisies + 7 lilies = 70 flowers in total.
The correct answer is 70 flowers.