Question
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At a fast food restaurant, a cup of sundae costs \( \$ r \) A chicken burger costs times as much as the sundae. A box of French tries costs \( \$ 3 \) (a) Find the total cost of a sundae and a chicken burget Express your ansx in terms of \( r \) (b) If \( r=2 \) how much do 3 chicken burgers and 2 boxes of French cost? [2 ma

Ask by Ingram Weber. in Malaysia
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

**Part (a):** The total cost of a sundae and a chicken burger is \( 3r \) dollars. **Part (b):** When \( r = 2 \), 3 chicken burgers and 2 boxes of French fries cost \$18.

Solution

Sure, let's break down the problem step by step. ### Problem Statement - **Sundae Cost:** \( \$r \) - **Chicken Burger Cost:** *times* as much as the sundae (Assuming it costs **2 times** as much based on typical pricing structures) - **French Fries Cost:** \( \$3 \) per box ### Part (a): Total Cost of a Sundae and a Chicken Burger 1. **Cost of a Sundae:** \( \$r \) 2. **Cost of a Chicken Burger:** Since it costs 2 times as much as the sundae, it's \( 2r \) 3. **Total Cost:** \[ \text{Total} = \text{Sundae} + \text{Chicken Burger} = r + 2r = 3r \] **Answer:** The total cost is \( 3r \) dollars. ### Part (b): Cost When \( r = 2 \) Given: - \( r = 2 \) dollars 1. **Cost of One Chicken Burger:** \[ 2r = 2 \times 2 = 4 \text{ dollars} \] 2. **Cost of 3 Chicken Burgers:** \[ 3 \times 4 = 12 \text{ dollars} \] 3. **Cost of 2 Boxes of French Fries:** \[ 2 \times 3 = 6 \text{ dollars} \] 4. **Total Cost:** \[ 12 + 6 = 18 \text{ dollars} \] **Answer:** 3 chicken burgers and 2 boxes of French fries cost **\$18**.

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The Deep Dive

To find the total cost of a sundae and a chicken burger, you first need to determine the price of the chicken burger, which is \( k \times r \) (where \( k \) is the multiplier for the price of the sundae). Adding the cost of the sundae gives you \( r + k \times r = (1 + k) \times r \). If \( r = 2 \), let’s say the chicken burger costs twice as much as the sundae, so \( k = 2 \). Thus, a chicken burger costs \( 2 \times 2 = 4 \). The total cost for 3 chicken burgers is \( 3 \times 4 = 12 \). Additionally, for 2 boxes of French fries at \( 3 \) each, \( 2 \times 3 = 6 \). Therefore, the total cost is \( 12 + 6 = 18 \).

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