Question

Maria and Katy have string Maria's is 6 cm longer that Katy's. When they put both of the strings together the total is 84 How long is Maria's string and how long is Katy's sting

Answer 1

Maria's string is 45 cm long and Katy's string is 39 cm long

Explanation:

Let's call the size of Maria's string X, and the size of Katy's string Y.

So, using the information from the problem, we can formulate a system of equations:

If Maria's string is 6 cm longer than Katy's, so:

X = Y + 6

If the strings together have 84 cm, so:

X + Y = 84

The first equation can be rewritten as X - Y = 6

Summing up both equation, we have that:

2X = 90

X = 45

Using X value in the first equation, we have that:

45 = Y + 6

Y = 39

So, Maria's string is 45 cm long and Katy's string is 39 cm long