1) To find out how long it takes to pitch 8 tents, set up a proportion based on the given information:
12 tents / 192 minutes = 8 tents / x minutes
Cross-multiply: 12 * x = 192 * 8
12x = 1536
x = 1536 / 12
x = 128 minutes
Answer: It took them 128 minutes to pitch 8 tents.
2) To find how many boxes of donuts Mary can buy for $105, set up a proportion:
1 box / $26.25 = x boxes / $105
Cross-multiply: 1 * 105 = 26.25 * x
105 = 26.25x
x = 105 / 26.25
x = 4
Answer: Mary can buy 4 boxes of donuts.
3) To find the cost of 33 Christmas tree ornaments, set up a proportion:
21 ornaments / $7 = 33 ornaments / x dollars
Cross-multiply: 21 * x = 7 * 33
21x = 231
x = 231 / 21
x = 11
Answer: A customer will pay $11 to purchase 33 ornaments.
4) To find the number of disabled parking spaces in a mall with 1,000 parking spaces, set up a proportion:
6 disabled spaces / 150 total spaces = x disabled spaces / 1000 total spaces
Cross-multiply: 6 * 1000 = 150 * x
6000 = 150x
x = 6000 / 150
x = 40
Answer: There are 40 disabled parking spaces.
5) To find how many videos Emily uploaded in 12 weeks, set up a proportion:
360 videos / 20 weeks = x videos / 12 weeks
Cross-multiply: 360 * 12 = 20 * x
4320 = 20x
x = 4320 / 20
x = 216
Answer: Emily uploaded 216 videos in 12 weeks.
Parent Tip: Review the logic above to help your child master the concept of proportion problems worksheet.