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Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon cakes can she buy?

Set up and solve a system of linear equations to model how to determine the number of lemon cakes Jasmine can buy for the party.

Answer :

Answer:

Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.

one chocolate cake=?=x

one lemon cake=?=y

$270 spent

need to buy total of 18 cakes

1-chocolate cake =$7

lemon cake = $5

cakes 18=x+y

money $110=$7x+$5y

When i graphed it on the demos calculator i got (10,8).

So 10= the number of chocolate cake brought and 8= the number of lemon cake brought

The number of lemon cakes Jasmine can buy for the party is 8.

System of linear equations

Two equations can be deduced from the question:

a + b = 18 equation 1

$7a + $5b = $110  equation 2

Where:

  • a = number of chocolate cakes bought
  • b = number of lemon cakes bought

Determining the number of lemon cakes that can be bought

In order to determine the number of lemon cakes that can be bought, take the following steps:

Multiply  equation 1 by 7

7a + 7b = 126  equation 3

Subtract  equation 2 from  equation 3

2b = 16

b = 8

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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