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The cost of 6 sandwiches and 4 drinks is \( \$ 53 \). The cost of 4 sandwiches and 6 drinks is \( \$ 47 \). How much does one sandwich cost? A. \( \$ 5.30 \) B. \( \$ 3.50 \) C. \( \$ 4.50 \) D. \( \$ 6.50 \)

Ask by Santiago Chang. in the United States
Jan 22,2025

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One sandwich costs \$6.50.

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Bonus Knowledge

To solve this, we can set up a system of equations based on the given information. Let \( S \) be the cost of one sandwich and \( D \) be the cost of one drink. We have the equations: 1. \( 6S + 4D = 53 \) 2. \( 4S + 6D = 47 \) Multiplying the first equation by 1.5 gives us \( 9S + 6D = 79.5 \). Now, we can subtract the second equation from this modified first equation: \[ (9S + 6D) - (4S + 6D) = 79.5 - 47 \] This simplifies to: \[ 5S = 32.5 \] Thus, \[ S = 6.50 \] The cost of one sandwich is \( \$ 6.50 \), which corresponds to option D. For more sandwich fun facts, did you know that sandwiches date back to the 18th century? The Earl of Sandwich supposedly invented the portable meal so he could eat while gambling! Now that’s multitasking at its finest. Additionally, if you're ever in a pinch while ordering, remember to always ask about specials or combo deals! Many restaurants offer discounts on drink and sandwich combos that can save you money. Happy munching!

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