Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

On Monday Harold picked up 6 donuts and two large coffees for the office. He paid $5.20. On Tuesday Melinda picked up four donuts and five large coffees for the office. She paid $6.95. What is the cost for one donut? What is the cost for one large coffee?

Sagot :

We will start solving as follows:

*First: We write the equations described in the problem, those are:

Monday:

[tex]6d+2c=5.20[/tex]

Tuesday:

[tex]4d+5c=6.95[/tex]

*Seciond: We operate the expressions in order to eliminate one of the variables and solve for only one of them, that is:

5 (6d + 2c = 5.20)

-2 (4d + 5c = 6.95)

---------------------------

30d + 10c = 26

-8d - 10c = -13.9

--------------------------

22d = 12.1 => d = 0.55

Now, we have the price for each donut is $0.55. So, in order to determine now the value of the coffee we input this value in one of the original equations and solve for c, that is:

[tex]4(0.55)+5c=6.95\Rightarrow2.2+5c=6.95[/tex][tex]\Rightarrow5c=4.75\Rightarrow c=0.95[/tex]

So, the value for each coffee is $0.95.

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.