Question

At Beans & Bagels, a bagel costs $1 more than a cup of coffee. Luca bought 4 cups of coffee and 6 bagels at a cost of $31. Please determine the cost of one bagel and the cost of one cup of coffee.

Answer 1

Answer:

coffee: $2.50

bagel: $3.50

Step-by-step explanation:

Answer 2

At Beans & Bagels, a bagel costs $1 more than a cup of coffee. Luca bought 4 cups of coffee and 6 bagels for $31. The cost of each bagel and cup of coffee is $2.5 and $3.5 respectively.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We have given

Cost of coffee = $x

Cost of Bagel = $(x + 1)

Number of cups of coffee = 4

Number of cups of bagel = 6

Total cost = $31

The equation

$(4 \times x) + 6(x + 1) = 31\\4x + 6x + 6 = 31\\10x = 31 - 6\\\\10x = 25\\\\x = 25/10\\x = 2.5$

Therefore,

Cost of coffee = $x

= $2.5

Cost of Bagel = $(x + 1)

= (2.5 + 1)

= $3.5

Learn more about linear equations;

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