Eweighs 5 pounds more than twice b weight. if their total weight is 225 pounds , how much does e weigh

E = 151 2/3

Step-by-step explanation:

We need to set up a system of equations to solve for the 2 unknowns.  The first equation is very basic, taken from the sentence "...their total weight is 225 pounds..."

This is

B + E = 225 in equation form.

Next, we know that E is twice the weight of B plus 5 (wording it a little differently helps eliminate the seeming ambiguity of the order things go in).  That looks like this algebraically:

E = 2B + 5

From above, we know that E + B = 225, so let's sub in the equivalent statement for E to get an equation with only one unknown:

B + (2B + 5) = 225 which simplifies to 3B = 220 and B = 73 1/3 pounds.

E can be found now by plugging the value of B:

E = 2(73 1/3) + 5

E = 151 2/3 pounds

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