Answer:
4 : 9
Step-by-step explanation:
The requested ratio is ...
tile length : board length = (2/3 ft) : (1/2 yd) = (8 in) : (18 in)
= 8 : 18 = 4 : 9
_____
To make a unitless ratio, both parts must have the same units. Here, we chose to express the lengths in inches. We could have used feet or yards as well. (2/3 ft)×(1 yard)/(3 ft) = 2/9 yd or (1/2 yd)(3 ft/yd) = 3/2 ft. You get the same ratio with any of these:
(2/9 yd) : (1/2 yd) = (4 yd) : (9 yd) = 4 : 9 . . . . . multiply by 18
(2/3 ft) : (3/2 ft) = (4 ft) : (9 ft) = 4 : 9 . . . . . multiply by 6
Answer:
(6,-1)
Solve for the first varible in one of the equations, then subsititue the other equation.
Answer:
The number of tiles the rug will cover is 54 tiles
Step-by-step explanation:
Here we have,
Total area covered by the rug = 18 ft²
Size of one tile = 1/3 ft²
Therefore the number of tiles that can fit into the the area is given by;
Total area of the rug ÷ Area of one tile
= 18 ft² ÷ 1/3 ft²
Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows
= 18 × 3/1 ft²/ft² = 54 tiles
The number of tiles the rug will cover = 54 tiles.
