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1. Bob\'s Scooters charges a daily fee plus a mileage fee for renting its scoote

ID: 3144464 • Letter: 1

Question

1. Bob's Scooters charges a daily fee plus a mileage fee for renting its scoote and 50 miles, while Mary was charged $20 for 5 days and 100 miles. What does Bob's Scooters charge per day and per mile? rs. Billy was charged $11.50 for 3 days Xdaly Fe 3x+50y = 11-50 doi( -05÷ mileage 4eP Answer Factories Alpha and Bravo sent bananas to stores 1 and 2. Alpha sent 11 loads and Bravo sent 24. Store 1 eceived 18 loads and store 2 received 17. It cost $4 to ship from Alpha to store 1, $7 from Alpha to store 2,$ 2. from Bravo to store 1, and $5 from Bravo to store 2. In total, $171 was spent on shipping bananas. How many loads from each factory went to each store? From A- oard Furn.. XtY2 fvom A- 2 (lcar om B-2 Answer

Explanation / Answer

3. Let the total job be equal to 'T' units.

Let the job completed by models A, B and C in one minute be equal to a, b and c units repectively.

From the given information, we get the following equations

25a+25b+25c = T...................Eqn1

20a+50b = T...................Eqn2

30b+60c = T...................Eqn3

By solving the above equations we get the ratio a : b : c = 5 : 4 : 3

Therefore, model A is the fastest.

As a : b : c = 5 : 4 : 3, let a, b, c be 5, 4, 3 respectively.

T = 25 (5+4+3) =300.

Therefore, A takes 300/5 minutes i.e., 60 minutes to complete the entire job.

4. Let a, b and c be the number of TV ads, Radio ads and Internet ads respectively.

From the given information, we get the following equations

a+b+c = 144.................Eqn1

1500a+600b+400c= 72000.

As a, b, c are non-negative integers, by solving the above equations we get different sets of values for a,b,c as follows:

(a, b, c) = (0, 72, 72) or (2, 61, 81) or (4, 50, 90) or (6, 39, 99) or (8, 28, 108) or (10, 17, 117) or (12, 6, 126).

Therefore, in the above seven different ways the ads can be distributed amon TV, Radio and Internet.