Optional extension A rose and an orchid together cost $$24$. A gardener buys orchids for $$48$.

Question

Optional extension A rose and an orchid together cost $$24$. A gardener buys orchids for $$48$. If she buys roses instead and spends $$72$, she gets two more plants. Let an orchid cost $$p$.

Accepted Answer

(a) $\dfrac{48}{p}$ (b) $\dfrac{72}{24-p}$ (d) $p=12$ (e) reject $-48$ because a price is positive (f) $6$ roses. (c) $p^2+36p-576=0$ (shown).

Comparing plant prices

Comparing plant prices

Solution:

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