Question

Liva finds amber at the local beach during the weekend. She often finds 12% less on Friday than Sunday and 9% less on Sunday than Saturday. Her goal is to find at least 35 pieces of amber each weekend. How many pieces should she find on Friday to meet her goal?

a) 29
b) 32
c) 28
d) 30

Answer 1

Liva should find at least 44 pieces on Friday to meet her goal of finding at least 35 pieces of amber each weekend.

Step-by-step explanation:

In order to find out how many pieces Liva should find on Friday, we need to work backwards from her goal of finding at least 35 pieces of amber each weekend.

Let's assume that she finds x pieces on Sunday. Since Liva finds 9% less on Sunday than Saturday, she must have found (1 - 0.09)x = 0.91x pieces on Saturday.

Similarly, Liva finds 12% less on Friday than Sunday, so she must have found (1 - 0.12)(0.91x) = 0.88(0.91x) pieces on Friday. Since she wants to find at least 35 pieces, we can set up the following inequality: 0.88(0.91x) >= 35.

Simplifying this inequality, we get 0.8008x >= 35. Dividing both sides by 0.8008, we find that x >= 43.69. Since x represents the number of pieces Liva finds on Sunday, it must be a whole number. The smallest whole number greater than or equal to 43.69 is 44. Therefore, Liva should find at least 44 pieces on Friday to meet her goal. The correct answer is d) 30.