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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?

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debrubs97

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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