Question

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The total capacity of five cups and three mugs is 230 cl.

The total capacity of five cups and four mugs is 265 cl.

Find the capacity of a mug.

Find the capacity of a cup.

Answer 1

The capacity of a mug is 35 cl, and the capacity of a cup is 25 cl, found by solving a system of linear equations derived from the given information.

Step-by-step explanation:

We have two equations based on the given information:

• The total capacity of five cups and three mugs is 230 cl.
• The total capacity of five cups and four mugs is 265 cl.

Let's represent the capacity of one cup as C and the capacity of one mug as M. We can then express the information given as two linear equations:

1. 5C + 3M = 230
2. 5C + 4M = 265

Subtracting the first equation from the second, we get:

5C + 4M - (5C + 3M) = 265 - 230

M = 35 cl (capacity of one mug)

We can then substitute the value of M into either of the original equations to find C. Using the first equation, we get:

5C + 3(35) = 230

5C + 105 = 230

5C = 230 - 105

5C = 125

C = 25 cl (capacity of one cup)

Therefore, the capacity of a mug is 35 cl, and the capacity of a cup is 25 cl.

Answer 2

A mug is 35cl
A cup is 25cl

let me know if any of this doesn’t make sense