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Question1. Four friends paid a total of \$50.24 for tickets. How much did each friend pay?
2. Jason drove 435.75 miles over three months. If June was 127.35 and July was 167.98, how far did he drive in August?
3. Which of these is NOT equivalent to 3654\frac{36}{54}? A. 1218\frac{12}{18} B. 812\frac{8}{12} C. 2430\frac{24}{30} D. 4872\frac{48}{72}
4. Which inequality is true? A. 34<59\frac{3}{4}<\frac{5}{9} B. 1720>45\frac{17}{20}>\frac{4}{5} C. 56<1114\frac{5}{6}<\frac{11}{14} D. 712>1625\frac{7}{12}>\frac{16}{25}

Studdy Solution

STEP 1

Assumptions1. The total cost of the museum tickets is 50.24.Thereare4friendsandeachpaidthesameamount3.Jasondroveatotalof435.75milesinthreemonths4.ThemileageforJuneandJulyisgiven,butthemileageforAugustismissing5.Wearetofindthefractionthatisnotequivalentto50.24. There are4 friends and each paid the same amount3. Jason drove a total of435.75 miles in three months4. The mileage for June and July is given, but the mileage for August is missing5. We are to find the fraction that is not equivalent to \frac{36}{54}$
6. We are to find the true inequality among the given options

STEP 2

First, we need to find out how much each friend paid for the museum ticket. We can do this by dividing the total cost by the number of friends.
Cost per friend=Total cost/Number of friendsCost\, per\, friend = Total\, cost / Number\, of\, friends

STEP 3

Now, plug in the given values for the total cost and the number of friends to calculate the cost per friend.
Cost per friend=$50.24/Cost\, per\, friend = \$50.24 /

STEP 4

Calculate the cost per friend.
Cost per friend=$50.24/4=$12.56Cost\, per\, friend = \$50.24 /4 = \$12.56Each friend paid $12.56 for a ticket to the museum.

STEP 5

Next, we need to find out the mileage for August. We can do this by subtracting the mileage for June and July from the total mileage.
Mileage for August=Total mileage−Mileage for June−Mileage for JulyMileage\, for\, August = Total\, mileage - Mileage\, for\, June - Mileage\, for\, July

STEP 6

Now, plug in the given values for the total mileage, and the mileage for June and July to calculate the mileage for August.
Mileage for August=435.75−127.35−167.98Mileage\, for\, August =435.75 -127.35 -167.98

STEP 7

Calculate the mileage for August.
Mileage for August=435.75−127.35−167.98=140.42Mileage\, for\, August =435.75 -127.35 -167.98 =140.42Jason traveled140.42 miles in August.

STEP 8

Next, we need to find out which fraction is not equivalent to 3654\frac{36}{54}. We can do this by simplifying 3654\frac{36}{54} and comparing it to the given options.
3654=23\frac{36}{54} = \frac{2}{3}

STEP 9

Now, simplify the given options and compare them to 23\frac{2}{3}.
A. 1218=23\frac{12}{18} = \frac{2}{3}B. 812=23\frac{8}{12} = \frac{2}{3}C. 2430=45\frac{24}{30} = \frac{4}{5}. 4872=23\frac{48}{72} = \frac{2}{3}Option C is not equivalent to 3654\frac{36}{54}.

STEP 10

Finally, we need to find out which inequality is true. We can do this by comparing the given fractions.
A. 34=0.75\frac{3}{4} =0.75 and 59=0.56\frac{5}{9} =0.56
B. 1720=0.85\frac{17}{20} =0.85 and 45=0.8\frac{4}{5} =0.8
C. 56=0.83\frac{5}{6} =0.83 and 14=0.79\frac{}{14} =0.79
. 712=0.58\frac{7}{12} =0.58 and 1625=0.64\frac{16}{25} =0.64
Option B is the true inequality.

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