Janice bought some bead kits from a wholesaler for $9.50 each. In just one week, she sold all but 12 of them in her shop for $21 each, making a profit of $622

Question

Please help me in writing this using algebraic techniques to find out how many kits janice bought AND how many she sold using step by step solutions.

Answer 1

Ok, What we know is a few things, let T be the total number of beads kits she bought. so, 9.5*T is the amount she paid for the kits. we also know that T-12 is how many she sold. she earned 622.00 profit from that sale. Profit = sales-costs.

So, Costs are 9.5T, sales are, 21.00(T-12). substitution gives you 9.5T+21.00(T-12)=622.00. with a little algebra, this becomes, 9.5T+21T-252.00=622.00, then, 11.5T=874.00, and finally, T=874.00/11.5=76.