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dybincka [34]
3 years ago
15

1.     At a fundraiser dinner, the bill for 4 cups of coffee

Mathematics
1 answer:
babymother [125]3 years ago
3 0

<u><em>1- Writing the system of equations:</em></u>

The price of a cup of coffee is denoted by c while the price of a spaghetti is denoted by s

<u>We are given that:</u>

4 cups of coffee and 6 spaghetti cost $20.5

<u>This means that:</u>

4c + 6s = 20.5 ................> equation 1

<u>We are also given that:</u>

1 cup of coffee and 3 spaghetti cost $8.75

<u>This means that:</u>

c + 3s = 8.75 .................> equation 2

<em><u>2- Solving the equations using substitution methods:</u></em>

<u>From equation 2:</u>

c = 8.75 - 3s ................> I

<u>Substitute with I in equation 1 and solve for s as follows:</u>

4c + 6s = 20.5

4(8.75 - 3s) + 6s = 20.5

35 - 12s + 6s = 20.5

35 - 6s = 20.5

6s = 14.5

s = $2.41667

<u>Substitute with s in I to get c:</u>

c = 8.75 - 3s

c = 8.75 - 3(2.41667) = 1.4999 = $1.5

<u><em>3- getting price for 1 cup of coffee and 1 spaghetti:</em></u>

c + s = 1.5 + 2.41667 = $3.91667

Hope this helps :)

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