Proportions
4/32, x/88
Find X (assuming they are proportional)
X = 11
Are the following two ratios proportional?
2/3, 12/12
No, they are not proportional! 2/3 is equal to 8/12 and 12/12 is equal to 3/3, or 1. 2/3 ≠ 1, so they are not proportional.
Sully ate 336 bananas. Dude, relax. Anyways, if he ate these over a course of two weeks, how many bananas is that per day?
This means Sully respectively ate 24 bananas every day. That's a lot of calcium.
There are 42 girls in the cafeteria and 66 boys. What is the simplest ratio of boys to girls?
11:7
11/7
11 to 7
All of these are correct since the question asked for BOYS to GIRLS.
Momo loves apples. He decides to try to eat 98 apples in two weeks! (He's very confident). Knowing this, how many apples would he have to eat in a single day?
100 apples / 14 days = 7 apples / 1 day = 7 apples per day. OMG Momo
Find X (assuming they are proportional)
3/66, 6/x
X = 132
Are the following two ratios proportional? Show your work.
3/63, 2/42
The unit rate would be 1/21 for both of these, so they are equivalent.
Lily bought 42 plants in a span of 7 days. How many plants is that in one month (Assuming the month is February)?
That is 164 plants per month, assuming it's February. Wow.
There are 4 watermelons in Joe's house for every 3 kiwis. If there are 99 kiwis, how many watermelons are in Joe's house?
There are 132 watermelons in Joe's house. Dude, chill.
Lily wants to buy 144 purses. She wants to do so in 6 days. Knowing this, how many bags will Lily need to buy per day? PART 2: If each purse costs $65, how much money would she need to buy them (Not including taxes)?
A. 24 bags per day.
B. $1,560 for the bags.
Find X (assuming they are proportional)
6/10, x/270
x = 162.
Are the following two ratios proportional? Show your work.
5/12, 60/144
Yes, these are proportional.
Avery tracked how many goals she got in the first 5 games of the season. She found she scored 6 goals per game every time. Assuming this stayed the same throughout all her games, if she scored a total of 78 goals throughout the whole season, how many games can we assume she played?
She played 13 games.
Jack has 12 boys at his party for every 5 girls. If he has 60 girls at his house, what is the ratio of boys to total people?
The ratios are:
144:204
144/204
144 to 204
These are all correct since the question asked BOYS to TOTAL PEOPLE.
Talulah wants to buy her guinea pigs some food. She wants to buy them enough food so they won't have to go back to the store for 24 days. If each bag of food costs $3 and the guinea pigs eat 1/4 a bag per day, how many bags will she need to buy? PART 2: How much will this cost, not including taxes?
A. 6 bags for 24 days.
B. $18 for 6 bags.
Find X (assuming they are still proportional)
x/4528 = 64/1132
x = 256
Are the following two ratios proportional? Show your work.
7/12, 14/36
These are not proportional.
Jake was playing basketball. He made 98 shots. If he made 13/14 of his shots, how many did he miss? How many did he make?
He made 91 and missed 7. He should be on the team, that's some good accuracy.
The number of total fruits in a store is 204. If there are 12 apples for every 5 oranges, what is the ratio of oranges to apples?
Hopefully by now you've learned to READ THE QUESTION. The ratio of ORANGES to APPLES is 144:60, 144/60, or 144 to 60.
Tavo gets $14 per hour of work and Sully gets $12 per hour of work. What is the rate of dollars to minutes for both of them?
Tavo: $0.23
Sully: $0.20
Answer for values x, y, and z, assuming they stay proportional.
3/6 = x/2 = 18/y = z/18
Now find a ratio that is proportional to all of these that is NOT one already listed.
x = 1, y = 36, z = 9. The proportional ratio you made just has to equal 1/2 to be correct, but it can NOT be 1/2, 18/36, or 9/18.
Are the following two ratios proportional? Show your work.
168/56, 24/8
Yes, they are proportional.
Mr Koss likes 91/104 of his relatives (Bubba included). Knowing this, if he has 26 relatives, how many of them does he like?
He likes 24 of them.
Jack wants to invite the whole math class over to a party. How kind! Anyways, if there are 18 people in our math class (I made this up by the way) and the ratio of boys to girls is 8:1, how many girls would be at the party if the ratio stayed the same, but 72 people went to the party?
8 girls went. 72 people going / 9 girls and boys total from the ratio = 8. This means if we multiply each number by 8, we find how many of each went to the party. 8 x 8 = 64, and 8 x 1 = 8. We can check this by doing 64 + 8, which equals 72.
Avery pays Jack $5 for 4 apples and Teagan pays Danny $10 for 7 apples. Who's got the better deal? Show your work.
Danny has the better deal.