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3 years ago

Can someone help me with this it is system of equations and you have to find the cost of each one

Mathematics

1 answer:

Umnica [9.8K]3 years ago

5 0

Answer:

1 cupcake = $3.75

1 ice-cream = $4.50

1 doughnut = $1.50

Step-by-step explanation:

2 ice-cream + 1 cup cake = $12.75 ------------ [ 1 ]

1 ice-cream + 2 doughnuts = $7.50 ------------ [ 2 ]

1 cup cake + 1 doughnut + 1 ice-cream = $9.75 ------------ [ 3 ]

From [ 1 ] :

2 ice-cream + 1 cup cake = $12.75

1 cupcake = $12.75 - 2 ice-cream

Substitute [ 1 ] into [ 3 ]:

1 cup cake + 1 doughnut + 1 ice-cream = $9.75

$12.75 - 2 ice-cream + 1 doughnut + 1 ice-cream = $9.75

1 doughnut - 1 ice-cream = -$3 ------------ [ 4 ]

[ 2 ] + [ 4 ] :

3 doughnuts = $4.75

1 doughnut = $1.50

Substitute (1 doughnut = $1.50) into [ 2] :

1 ice-cream + 2 doughnuts = $7.50

1 ice-cream + 2 x $1.50 = $7.50

1 ice-cream + $3 = $7.50

1 ice-cream = $4.50

Substitute (1 ice-cream = $4.50) into [ 1 ]:

2 ice-cream + 1 cup cake = $12.75

2 x $4.50 + 1 cup cake = $12.75

1 cupcake = $12.75 - $9

1 cupcake = $3.75

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

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3 years ago