Question

Ralph and Homer read a total of 33 books over the summer. Ralph read three more than four times as many as Homer. How many books did each person read?

Help Please! Add work.

Answer 1

Ralph read 27 books and Homer read 6 books.

Step-by-step explanation:

Given,

Total books read = 33

Let,

Books read by Ralph = x

Books read by Homer = y

According to given statement;

x+y=33     Eqn 1

Ralph read three more than four times as many as Homer.

x = 4y+3    Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(4y+3)+y=33\\4y+3+y=33\\5y=33-3\\5y=30$

Dividing both sides by 5

$\frac{5y}{5}=\frac{30}{5}\\y=6$

Putting y=6 in Eqn 2

$x=4(6)+3\\x=24+3\\x=27$

Ralph read 27 books and Homer read 6 books.

Keywords: linear equation, substitution method

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