Question

nkini bought 3 skirts and 2 sweaters at a total cost sh. 1575. if he had bought 2 skirts and 3 sweaters he would have spent sh. 225 more. find the cost of 5 skirts and 2 sweaters.

Answer 1

This is a system of equations problem where two scenarios are provided with different quantities and costs of skirts and sweaters. We can define two equations based on the scenarios and solve for the cost of one skirt and one sweater. With these values, we can then calculate the total cost for 5 skirts and 2 sweaters.

Step-by-step explanation:

The student is presenting a system of equations problem based on the purchase of skirts and sweaters with different quantities leading to different total costs. To solve this problem, we can let 's' be the cost of one skirt and 'w' be the cost of one sweater.

The first scenario gives us the equation: 3s + 2w = 1575.
The second scenario yields: 2s + 3w = 1575 + 225, which simplifies to 2s + 3w = 1800.

Solving this system of equations will allow us to find the values of 's' and 'w'. Once we have these, we can calculate the cost of 5 skirts and 2 sweaters by using the equation 5s + 2w.