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Thank you for visiting On Monday Luis picked up seven scones and six large coffees for the office staff He paid 29 97 On Tuesday Rachel picked up four. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

On Monday, Luis picked up seven scones and six large coffees for the office staff. He paid $29.97. On Tuesday, Rachel picked up four scones and five large coffees for the office staff. She paid $20.08.

What is the cost of one scone? What is the cost of one large coffee?

Answer :

Answer:

each scone cost 2.67

each coffe cost 1.88

Step-by-step explanation:

Luis:

(1) 29,97=7Scons+6Coffe

(2) Scons=(29,97-6coffe)/7

Rachel

(3) 20,08=4scons+5Coffe

if we replace eq.(2) in (3)

(4) 20,08=4*(29,97-6coffe)/7+5coffe

(5) 20,08=17.1257+1,5714 coffee

(6) coffe=1,88

if we replace (6) in (2) we obtain

scons=(29,97-6*1.88)/7=2.67

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Rewritten by : Jeany

Final answer:

Let S represent the price of a scone and C represent the price of a coffee. Form equations from the given information (7S + 6C = $29.97 and 4S + 5C = $20.08) and solve them simultaneously to find the price of a scone and a coffee.

Explanation:

This is an algebra problem where you can set up two equations based on the information given. If we represent the price of a scone as S and the price of a large coffee as C, we can say:

  • 7S + 6C = $29.97 (Luis' purchase)
  • 4S + 5C = $20.08 (Rachel's purchase)

You can then solve these equations simultaneously to find the values of S and C, which represent the price of a scone and a large coffee, respectively.

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