72=8×9 times as many
1 answer:
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Answer:
Number of bagels = 10
Number of donuts = 25
Step-by-step explanation:
Let Number of bagels = b
Number of donuts = d
As given,
Each donut cost $0.55 and each bagel cost $1.20
⇒ Cost of d donuts = $0.55d
Cost of b bagels = $1.20b
Also given,
Jamian bought a total of 35 bagels and donuts
⇒ b + d = 35 ........(1)
Also,
He paid a total of $25.75.
⇒ 1.20b + 0.55d = 25.75 .........(2)
Now,
Multiply equation (1) by 1.20 , we get
1.20( b + d = 35 )
⇒1.20b + 1.20d = 42 ..........(3)
Now,
Subtract equation (2) from equation (3), we get
1.20b + 1.20d - ( 1.20b + 0.55d ) = 42 - 25.75
⇒1.20b + 1.20d - 1.20b - 0.55d = 16.25
⇒0.65d = 16.25
⇒d = = 25
⇒d = 25
Put the value of d in equation (1) , we get
b + d = 35
⇒b + 25 = 35
⇒b = 35 - 25 = 10
⇒b = 10
∴ we get
Number of bagels = b = 10
Number of donuts = d = 25
There are 6! possible permutations of the blue books, 2 possible permutations of the red books, 4! possible permutations of the green books and 3! possible permutations of the three color groups. therefore the total number of ways of arranging the books is given by:
