Estelle is making 30 pounds of fruit salad from strawberries...

Estelle is making 30 pounds of fruit salad from strawberries and blueberries. $\quad$ Strawberries cost $\$ 1.80$ per pound and blueberries cost $\$ 4.50$ per pound. If Estelle wants the fruit salad to cost her $\$ 2.52$ per pound, how many pounds of each berry should she use?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

System of Linear Equations

Solving a mixture problem often involves setting up a system of linear equations. One equation typically represents the total quantity of the mixture, while another represents the overall value or cost. These equations are solved simultaneously to find the unknown quantities of each component, ensuring the combined properties match the desired specifications.

Mixture Problem

A mixture problem involves combining two or more components with different properties, such as price or concentration, to achieve a desired overall property in the final mixture. It requires determining the amounts of each component that must be mixed together to reach a specified target value, like cost per unit or concentration.

Weighted Average

The concept of weighted average is used to calculate the overall average when different items contribute unequally to the total. In mixture problems, each component’s cost or value is multiplied by its proportion of the total mixture, and these products are summed and then divided by the total weight or quantity to obtain the overall average.

Please give Ace some feedback