Question

A baker can bake 90 cookies in half an hour. If she takes one hour for lunch and two 15 minute breaks during the day, how many cookies can she bake from 9am - 5pm?
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990 1080 1260 1350 1170
Two computers each produced 43,000 public utilities bills in a day. One computer printed bills at the rate of 8,600 an hour and the other at the rate of 7,800 an hour. When the
first computer finished its run, how many bills did the other computer still have to print?
O 3300 O 26000 3900 O120004000
3 A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes. How many typewriters are required for a complete display?
015 045 036 020 011
On Monday a post office employee processed a batch of letters, on Tuesday she processed three times as many, and on Wednesday she processed 5,000 cards. In the 3 days she
processed 15,000 letters. How many did she process on Tuesday?
7,500 O 10,000 2,500 6,000 5,000
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Answer 1

Using proportions, it is found that:

• 1. 1170 cookies.
• 2. The other computer will still have to print 4000 bills.
• 3. 36 ways.
• 4. 7500 cards on Tuesday.

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Question 1:

• From 9 am to 5 pm, there are 8 hours, thus, 16 half-hour periods.
• She takes off 3 half-hour periods(2 for lunch, one for two breaks of 15 minutes), thus, she works 13 half-hour periods.
• During each half-hour period, she bakes 90 cookies.
• Thus, during an entire day, $90 \times 13 = 1170$ cookies.

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Question 2:

• Each of the computers produced 43,000 bills.
• One printed at the rate of 8,600 an hour.
• The other at the rate of 7,800 an hour.
• The first prints all the bills in 5 hours, as $\frac{43000}{8600} = 5$.
• In this period, the second will have printed $5 \times 7800 = 39000$, and $43000 - 39000 = 4000$ will be left.

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Question 3:

• 3 colors, 6 styles, 2 sizes. Colors, styles and sizes are independent, thus $3 \times 6 \times 2 = 36$ ways.

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Question 4:

• On Monday, x letters.
• On Tuesday, three times as many, thus 3x letters.
• On Wednesday, 5000 cards.
• In total, 15000 letters.

Thus:

$x + 3x + 5000 = 15000$

$4x = 10000$

$x = \frac{10000}{4}$

$x = 2500$

Thus, on Tuesday, 7500 cards, as $3x = 3(2500) = 7500$

A similar problem is given at https://brainly.com/question/23536327