To determine the price per pound of apples and blueberries, we can set up a system of equations based on the given information.

Let:

• $x$ be the price per pound of apples,
• $y$ be the price per pound of blueberries.

From the problem, we can form two equations:

1. From yesterday's sales: $20x + 50y = 160$ (20 pounds of apples and 50 pounds of blueberries for a total of $160)

2. From today's sales: $38x + 10y = 134$ (38 pounds of apples and 10 pounds of blueberries for a total of $134)

Now, we will solve this system of equations to find $x$ and $y$.

Step 1: Solve one equation for one variable

We can solve one of the equations for one variable and substitute into the other. Let's solve the second equation for $y$: $38x + 10y = 134 \quad \Rightarrow \quad 10y = 134 - 38x \quad \Rightarrow \quad y = \frac{134 - 38x}{10}$

Step 2: Substitute into the first equation

Substitute the expression for $y$ into the first equation: $20x + 50\left(\frac{134 - 38x}{10}\right) = 160$ Simplify the equation: $20x + 5(134 - 38x) = 160$ $20x + 670 - 190x = 160$ $-170x + 670 = 160$

Step 3: Solve for $x$

$-170x = 160 - 670$ $-170x = -510$ $x = \frac{-510}{-170} = 3$ So, the price per pound of apples is $x = 3$ dollars.

Step 4: Solve for $y$

Substitute $x = 3$ into the expression for $y$: $y = \frac{134 - 38(3)}{10} = \frac{134 - 114}{10} = \frac{20}{10} = 2$ So, the price per pound of blueberries is $y = 2$ dollars.

Final Answer:

• The price per pound of apples is $3.
• The price per pound of blueberries is $2.

Would you like further details or have any questions?

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Here are 5 related questions to explore:

1. What would the revenue be if Morgan sold 15 pounds of apples and 30 pounds of blueberries tomorrow?
2. How would the price change if Morgan decided to increase the price of blueberries by 50%?
3. If Morgan sold only apples tomorrow, how many pounds would she need to sell to make $150?
4. How does the system of equations change if she gives a discount on both items?
5. Could Morgan sell different proportions of apples and blueberries and still make the same revenue? How?

Tip: For solving systems of equations, substitution and elimination methods are often interchangeable depending on the complexity of the problem.