A deli has a special one day event to celebrate. On the day of the event every eighth customer receives a free drink. Every twel
fth customer receives a free sandwich. If 200 customers show up for the event, how many of the customers will receive both a free drink and a free sandwich?
Find the HCF or GCF of 8 and 12 which is 24. now total customers are 200, now divide 200 by 24 and you will get quotient 8 and it shows 8 people will get both drink and sandich
<span>For this we have to see which numbers below 200 are both divisible by 8 and 12.
Who get free drink - 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192,200
Who get free sandwich
12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192
Find common numbers
24,48,72,96,120,144,168,192
The answer is 8</span>
Under this conditions 8.15 strips will be needed to cover the floor.
Step-by-step explanation:
In order to solve this problem we first need to calculate the area of the floor, since it's rectangular it's area is given by the product of it's length and width. In this case one of these measurements was given to us with a mixed unit, we need to convert it to a single unit in order to calculate correctly. This is done bellow:
width = 13 ft 6 in
width = 13 ft + 6 in
width = 13 ft + (6 in)/12 = 13 + 0.5 = 13.5 ft
Now we can calculate the area of the floor as shown bellow:
floor area = width*length = 14*13.5 = 189 ft²
Since each strip is 29 ft² to calculate how many strip will be used we need to divide the area of the whole floor by the area of each strip. We have:
number of strips = 189/29 = 6.52
Althought there must be 25% more strips, so we need to multiply that value by 1.25.
number of strips = 6.52*1.25 = 8.15
Under this conditions 8.15 strips will be needed to cover the floor.