Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost

Question

\[\$25\].
Let
\[B\] represent the number of black beards and
\[R\] represent the number of red beards that Merlin can sell to make more money than he made last month.
\[20B+25R > 350\]
According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?
Merlin made
\[\$\]
last month, and each black beard costs
\[\$\]
.

Answer 1

To determine how much money Merlin made last month and how much each black beard costs, we start from the inequality provided:

\[ 20B + 25R > 350 \]

This inequality represents the total money Merlin wants to make this month (that is more than $350) from selling black beards (costing $20 each) and red beards (costing $25 each).

Given the inequality, it can be interpreted as follows:

• The term \(20B\) indicates the total money made from black beards, where \(B\) is the number of black beards sold and each costs $20.
• The term \(25R\) indicates the total money made from red beards, where \(R\) is the number of red beards sold and each costs $25.
• The total amount \(20B + 25R\) must be greater than $350 for Merlin to have made more money this month than last.

From the inequality, we can conclude that Merlin made $350 last month since the current condition is that he wants to exceed this amount.

Next, the cost of a black beard is explicitly given in the inequality as $20.

Thus, we have:

Merlin made \[ \text{$350} \] last month, and each black beard costs \[ \text{$20}. \]