Question

Randy has 10% of his plums to Vashti and sold 33.5% of the remainder to Shawn. Randy remained with 60 plums. How many plums did Randy have initially?

Answer 1

To find the initial number of plums Randy had, we will work backwards using percentages. Randy initially had 80 plums.

Step-by-step explanation:

To find the initial number of plums Randy had, we will work backwards using percentages. Let's assume the initial number of plums Randy had was 'x'.Randy gave 10% of his plums to Vashti, which means he had 90% of the plums remaining. So, he had 0.9x plums remaining.Randy then sold 33.5% of the remainder to Shawn, which means he had 66.5% of the remaining plums left. So, he had 0.665 * 0.9x plums left.We know that Randy remained with 60 plums, so we can set up the following equation: 0.665 * 0.9x = 60Solving this equation, we find that x = 80. Therefore, Randy initially had 80 plums.