Question

Maria has five more than twice as many hats as Beth. Together they have 26 hats. How many hats does Maria have?

Answer 1

Maria has 19 hats.

b=beth
m=maria
Equations: 2b+5=m
                  b+m=26

plug in 2b+5 for m in equation 2: b+2b+5=26
add like terms: 3b+5=26
subtract 5 from both sides: 3b=21
Divide 3 from both sides: b=7
now plug in 7 for b: 7+m=26
subtract 7 from both sides: m=19
m=Maria
therefore Maria has 19 hats

Answer 2

Maria has 19 hats.

Calculation of number of hats:

Here we assume

b=beth

m=maria

Now the equation should be

2b+5=m

b+m=26

here we put m equation

So,

b + 2b + 5 = 26

3b = 21

b = 7

So, the hats should be = 26 - 7 = 19

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