Three children collected a total of 270 used books. Clare collected
25 more used books than Ryan, Jerry collected 19 more used books
than Clare. How many used books did Jerry collect?​

Respuesta :

Answer:

111 books

Explanation:

c + r + y = 270    eq. 1

c = r + 25      eq. 2

y = c + 19      eq. 3

c = books collected by Clare

r = books collected by Ryan

y = books collected by Jerry

from the eq. 2:

r =  c - 25     eq. 4

Replacing eq. 4 and eq.3 on eq.1

c + (c-25) + (c+19) = 270

3c + 19 - 25 = 270

3c - 6 = 270

3c = 270 + 6

3c = 276

c = 276/3

c = 92

from eq. 4

r = c - 25

r = 92 - 25

r = 67

from eq. 3

y = c + 19

y = 92 + 19

y = 111

Check:

92 + 67 + 111 = 270

then:

Jerry collect:

111 books