Question

From a pair of linear equations in two variables for the following date. "The rate of tea per $kg$ is $7$ time the rate of sugar per $kg$. The total of $2kg$ tea and $5kg$ sugar is $Rs.570."$

Answer 1

Let rate of sugar $=x$

rate of tea $=7x$

Given that $2\left(7x\right)+5\left(x\right)=570$

$14x+5x=57019x=570x=30$

$\therefore$ rate of sugar $=30$

rate of tea $=210$