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Arlecino [84]
3 years ago
12

Bob and Maria each purchase steak from the butcher. Maria selects a cut that costs $19.98 per pound. Bob’s selection costs $13.9

8 per pound. If Maria’s steak is all meat, and Bob’s cut of beef is 1⁄3 bone and fat, who is paying more for actual steak?
Mathematics
1 answer:
Sidana [21]3 years ago
8 0

Answer:

Bob is paying more for the actual steak

Step-by-step explanation:

we know that

Maria selects a cut that costs $19.98 per pound (Maria's steak is all meat)

Bob’s selection costs $13.98 per pound (Bob’s cut of beef is 1⁄3 bone and fat)

so

Bob's cut is 2/3 all meat

Find the unit rate of Bob's cut for all meat

\frac{13.98}{(2/3)} \frac{\$}{pounds} =20.97\frac{\$}{pounds}

therefore

\$20.97> \$19.98

Bob is paying more for the actual steak

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125 tickets were sold for the jazz band concert for a total of $1,022. Students tickets cost $6 each, and general admission tick
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Answer:

Number of student tickets sold are 57 and general tickets sold are 68.

Step-by-step explanation:

Let the number of student tickets = x and the number of general tickets = y.

It is given that in total 125 tickets were sold.

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x+y=125

Also, students tickets is sold for $6 each and the general tickets are sold for $10 each.

Since, the total cost of the tickets is $1022.

So, we get,

6x+10y=1022

Thus, the system of equations obtained is,

x + y = 125 ........................(1)

6x +  10y = 1022

Multiply equation (1) by 6 gives us,

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6x + 10y = 1022 .........................(3)

Subtact (2) from (3), we get,

10y - 6y = 1022 - 750

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Hence, the number of student tickets sold are 57 and general tickets sold are 68.

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