Ashley and her brother combined read a total of 35 books over the summer. Ashley read three more than four time as many books as her brother. How many books did each person read?

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

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)