Challenge A new coffee shop sold cups of hot coffee and cups of iced coffee during its first two days. The ratio of cups of hot coffee sold to cups of iced coffee sold on the first day was . On the second​ day, the shop sold as many cups of iced coffee as the first day. The ratio of cups of hot coffee sold to cups of iced coffee sold on the second day was . How many cups of each type of coffee did the shop sell each​ day?

1 day =   221 hot coffee cups and 117 iced coffee cups

2 day = 247 hot coffee cups and 234 iced coffee cups

Step-by-step explanation:

A new coffee shop sold 468 cups of hot coffee and 351 cups of iced

coffee during its first two days. The ratio of cups of hot coffee sold to cups of

iced coffee sold on the first day was 17 : 9. On the second day, the shop sold

twice as many cups of iced coffee as the first day. The ratio of cups of hot

coffee sold to cups of iced coffee sold on the second day was 19 : 18.

a) How many cups of each type of coffee did the shop sell the first day?

Let  cups of hot coffee be denoted by x

Then

17x+ 19x= 468

or

36x= 468

x= 13

On the first day the number of hot coffee cups sold are 17y or 17*13=  221 cups.

On the second day the number of hot coffee cups sold are 19y or 13*19=  247 cups.

Similarly Let  cups of iced coffee be denoted by  y

Then

9y+18y= 351

27y= 351

y= 351/27= 13

On the first day the number of iced coffee cups sold are 9y or 13*9=  117 cups.

On the second day the number of iced coffee cups sold are 18y or 13*18=  234 cups.

details

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560