Question

tito purchased two varities of ice cream cups,vanilla and strawberry -spending a total amount of Rs 330.If each vanilla cup costs Rs 25 and each strawberry cup costs Rs 40 then in how many different combination could he have purchased the ice cream cups ?

Answer 1

$$\begin{gathered} \mathrm{Dear}\mathrm{Student}, \\ \mathrm{Let}\mathrm{the}\mathrm{cost}\mathrm{of}\mathrm{vanilla}\mathrm{ice}\mathrm{cream}\mathrm{cup}=\mathrm{x} \\ \mathrm{and}\mathrm{cost}\mathrm{of}\mathrm{strawberry}\mathrm{ice}\mathrm{cream}\mathrm{cup}=\mathrm{y} \\ \mathrm{So}\mathrm{according}\mathrm{to}\mathrm{the}\mathrm{question}, \\ 25\mathrm{x}+40\mathrm{y}=330 \\ 5\mathrm{x}+8\mathrm{y}=66 \\ \mathrm{Now}\mathrm{putting}\mathrm{y}=0,1,2,3.... \\ \mathrm{we}\mathrm{can}\mathrm{see}\mathrm{that}\mathrm{at}\mathrm{y}=2,\mathrm{x}=10 \\ \mathrm{y}=7,\mathrm{x}=2 \\ \mathrm{So}\mathrm{there}\mathrm{are}\mathrm{two}\mathrm{combination}\mathrm{only}. \\ \mathrm{Regards} \end{gathered}$$