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Question

I mix 2 gallons of milk containing 1% fat and 3 gallons containing 2% fat. What is percent of fat in the mixture, expressed to nearest tenth?
In game of dice, I roll two dice. I can choose sum or product of the numbers rolled for my score for that turn. To win, I must get a total score o 102 points from the sum of my scores. What is least possible number of turns needed to win?
Last month I made $200 by baby-sitting for 12 hours and tutoring for 20. This month I worked the smaenumber of hours at each job, but increased her baby-sitting fee by $2 per hour and her turoing fee by $1 per hour. How much did I earn?
I cycle 519 hours, 45 minutes and 18 seconds. If I cycled nonstop for this time, how many days will this be, expressed as a decimal to nearest hundredth?
I can choose one of these two monthly salary plans. With $25,000 of sales this moth, what is the positive difference in earnings under the two plans?
A basic salary of $500 plus a 10% comission on sales
" " $1000 " 5%

Answer 1

a) 2 x 0.01 = 0.02g
3 x 0.02 = 0.06g
= 0.08g

0.08g/5g = 1.6%

b) 3 rolls: 2 6's (product = 36), 2 6's (product = 36), 6 and 5 (product = 30)
36 + 36 + 30 = 102

c)
12b + 20t = 200
12(b+2) + 20(t+1) = ?
12(b+2) + 20(t+1) = 12b + 20t + x
12b + 24 + 20t + 20 = 12b + 20t + x
24 + 20t + 20 = 20t + x ^
24 + 20 = x |
44 = x |
|
12b + 20t = 200 ----------|
200 + x = ?
200 + 44 = 244

$244

d) 1 day = 24hrs
1 hr = 60min
1 min = 60s

1 day = 24 hrs x 60min/hr x 60s/min = 86400s
519hrs, 45min, 18s = (519 x 60 x 60) + (45 x 60) + 18 = 1871118s

1871118s/86400s = 21.66 days

10% x $25000 = $2500
5% x $25000 = $1250

500 + 2500 = 3000
100 + 1250 = 2250

$500 + 10% is best ($3000)