Question

There are more than 15 shapes all together but no more than 25. There are 6 more squares than circles. There are 7 fewer circles than triangles. How many of each do you have?

Answer 1

Answer:

the number of circles is 3

the number of square is 9

the number of triangle is 10

Step-by-step explanation:

Let the number of square = s

let the number of circle = c

let the number of triangle = t

let the total number of the shapes = y

15 < y < 25

y = s + c + t ---- (i)

s = c + 6 ------ (ii)

c + 7 = t ------ (iii)

y = (s) + (c) + (t)

y = (c + 6) + (c) + (c + 7)

y = 3c + 13

15 < y < 25

15 <  3c + 13  < 25

15 - 13 < 3c < 25 -13

2 < 3c < 12

2/3 < c < 12/3

0.67 < c < 4

Thus, number of circle is greater 1 but less than 4

c = 3

s = 3 + 6 = 9

t = 3 + 7 = 10