In the group of 60 triangular and square tiles, there are 28 blue squares, 12 red squares, 3 red triangles, and 17 blue triangles.
It is given that in a group of 60 triangular and square tiles, 25% are Red and 75% are blue. The ratio of triangles to Squares is 1:2. Seventy percent of the squares are blue.
It is required to find the number of each kind of tile.
Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Total number of triangular and square tiles = 60
25% are red means:
[tex]\rm = 60\times\frac{25}{100}[/tex] ⇒ 15 are red triangular and square tiles.
75% are blue means:
[tex]\rm = 60\times\frac{75}{100}[/tex] ⇒ 45 are blue triangular and square tiles
The ratio of triangles to squares is 1:2 which means that out of 60 there is a total of 20 are triangles and 40 are squares.
70% of the squares are blue ie.
[tex]\rm = 40\times \frac{70}{100}[/tex] ⇒ 28 are blue squares.
The number of total red squares = 40 - 28 ⇒ 12
The number of total red triangles = 15 - 12 ⇒ 3
The number of total blue triangles = 60-28-12-3 ⇒ 17
Thus, in the group of 60 triangular and square tiles, there are 28 blue squares, 12 red squares, 3 red triangles, and 17 blue triangles.
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