At the arena, front section tickets are more expensive than back
section tickets. If 275 front section and 325 back section tickets to
a country music concert were sold for a total revenue of , how much
does each type of ticket cost?

Question

At the arena, front section tickets are

more expensive than back
section tickets. If 275 front section and 325 back section tickets to
a country music concert were sold for a total revenue of

, how much
does each type of ticket cost?

UpStudy AI · Accepted Answer

Let's solve the problem step-by-step.

**Let:**
- $$ b $$ = price of a back section ticket (in dollars).
- $$ b + 15 $$ = price of a front section ticket (since front tickets are \$15 more expensive).

**Given:**
- Number of front section tickets sold = 275
- Number of back section tickets sold = 325
- Total revenue = \$19,125

**Set Up the Equation:**
$$
275(b + 15) + 325b = 19,125
$$

**Simplify and Solve for $$ b $$:**
$$
275b + 4,125 + 325b = 19,125
$$
$$
600b + 4,125 = 19,125
$$
$$
600b = 19,125 - 4,125
$$
$$
600b = 15,000
$$
$$
b = \frac{15,000}{600}
$$
$$
b = 25
$$

**Determine the Price of Each Ticket:**
- **Back Section Ticket:** \$25
- **Front Section Ticket:** $$ 25 + 15 = \$40 $$

**Verification:**
$$
275 \times 40 + 325 \times 25 = 11,000 + 8,125 = 19,125
$$
This confirms the solution is correct.

**Answer:**
Each back section ticket costs \$25 and each front section ticket costs \$40.
Each back section ticket costs \$25 and each front section ticket costs \$40.

At the arena, front section tickets are more expensive than back
section tickets. If 275 front section and 325 back section tickets to
a country music concert were sold for a total revenue of , how much
does each type of ticket cost?

Upstudy AI Solution

Answer

Solution

Mind Expander

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At the arena, front section tickets are more expensive than back section tickets. If 275 front section and 325 back section tickets to a country music concert were sold for a total revenue of , how much does each type of ticket cost?

Upstudy AI Solution

Answer

Solution

Mind Expander

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At the arena, front section tickets are more expensive than back
section tickets. If 275 front section and 325 back section tickets to
a country music concert were sold for a total revenue of , how much
does each type of ticket cost?