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Write a system of equations to compare these two scenarios:

1) You buy a grande café latte from Starbucks every day, which costs 3.65


2) You spend 300 to buy an espresso machine and purchase supplies for lattes, which cost an additional 1.35 a day.


a) After how many days will the price of buying lattes for Starbucks equal the price of making lattes at home?


b) How much money will you have spent at this point?

Sagot :

The equations used to compare the two scenarios are as follows:

3.65x

300 + 1.35x

What is an equation?

Identifying which variables values result in equality is part of solving a variable equation. The variables for which the equation must be solved are known as unknowns, whereas the unknown values that fulfill the equality are known as equation solutions. A mathematical expression with two equal sides separated by an equal sign is known as an equation. 4 + 6 = 10. We can see 4 + 6 on the left and 10 on the right side of the equal symbol.

We already have,

1) You often purchase a grande cafe latte from Starbucks, which costs $3.65.

This formula is:

Number of days = x

Total cost after x days = 3.65x

2) You spend $300 on an espresso machine and ingredients for lattes, which cost an extra $1.35 per day.

This formula is:

Number of days = x

Total cost after x days = 300 + 1.35x

Now, three days later,

3.65 x 3 = $10.95

300 + 1.35 x 3 = 300 + 4.05 = $304.05

Thus,

The equations used to compare the two scenarios are as follows:

3.65x

300 + 1.35x

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