Ashley and her brother combined read a total of 33 books over the summer. Ashley read three more than four time as many books as her brother. How many books did each person read?

Respuesta :

Answer:

Ashley read 27 books and her brother read 6 books

Step-by-step explanation:

Let the number of books Ashley read be x

Let the number of books her brother read be y;

If Ashley and her brother combined read a total of 33 books over the summer., then;

x + y = 33...... 1

If Ashley read three more than four time as many books as her brother, then;

x = 4y + 3 .... 2

Substitute equation 2 into 1:

From 1:

x + y = 33

4y+3+y = 33

5y + 3 = 33

5y = 33-3

5y = 30

y = 30/5

y =  6

Get x;

Since x+y = 33

x + 6 = 33

x = 33-6

x = 27

Hence Ashley read 27 books and her brother read 6 books

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