A strawberry box contains $y$ strawberries. A lychee box contains $8$ less lychees compared to t

Question

A strawberry box contains $y$ strawberries. A lychee box contains $8$ less lychees compared to the number of strawberries in a strawberry box. There are $\frac{y}{2}$ strawberries boxes and thrice as many lychee boxes. Write down in terms of $y$, the number of lychees in one lychee box. the total number of lychees in all the lychee boxes. Show that the total number of strawberries and lychees is $2{{y}^{2}}-12y$. The total number of strawberries and lychees is $144$. Find the number of strawberries in one box. The profit from selling one strawberry box is $\$\left( 0.9x+2 \right)$. If the total profit of selling all the strawberry boxes is $\$120$, find the value of $x$.

Accepted Answer

(a)(i) $y-8$ (a)(ii) $\frac{3}{2}y^2-12y$ (b) $2y^2-12y$ (c) $12$ strawberries (d) $x=20$

Fruit Boxes Problem Leading to a Quadratic Equation

Fruit Boxes Problem Leading to a Quadratic Equation

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