Alvin's Rate Growing Post

Part 1
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Ratio - Compares parts of one group in the SAME units.
Rate - Compares 2 quantities in DIFFERENT units.

What is the difference between rate and ratio ?.
The difference is that ratio compares in the same units and rate compares in different units.

Question 4 on page 60.

4. Determine the unit rate in each situation.

a)An orca swims 110 km in 2 hours.

You can get the answer by first getting the ours to 1 hour for the unit rate. You do that buy dividing it by itself which in this case is 2, then you get 1. You do the same to the other side and you get 55. So the answer is the orca whale swims 55 km/h

b) A Canada goose flies 800 km in 12.5 hours.

Same thing as question a. You divide each side by 12.5 and you get 64 on the km and 1 in the hours. So that means a Canada goose flies 64 km / h.

c) Cathy plants 45 daffodils in 30 min.

This time instead of dividing we are gonna multiply since its 30 minutes and we want an hour. You multiply each side by 2. Which gets you the answer 90 daffodils/ h.

Question 10 on page 61.

10. Trevour rode his mountaion bike 84 km in 3 hours. Jillian rode her mountain bike 70 km in 2.5 hours. Who is the faster cyclist ?. How do you know ?.

First for Trevour you divide each side by 3 which then gives you 28 km / h.
Second for Jillian divide each side by 2.5 which gets you the same answer 28 km/ h.

They are both going the same speed because I did the work and both answers are the same which means they are both equally fast.

Coin question.

If there were 2740 nickles in 4 jars, then how many nickles will be in each jar ?.

You can get the answer by just dividing each side by 4. Then the answer would be that each jar has 685 nickels in it.

Part 2

This recipe serves 4 people.

1) What would the recipe look if you had to serve 10 people ? Show your calculations.

Ground beef - 0.5 x 2.5 = 1.25 lb
Medium Onion diced - 1 x 2.5 = 2.5
Stalked celery finely diced - 1 x 2.5 = 2.5
Clove garlic minced - 1 x 2.5 = 2.5
Canned tomatos chopped - 14 oz x 2.5 = 35 oz
Canned tomato paste - 0.5 x 2.5 = 1.25
Parsley - 1 x 2.5 = 2.5 tsp
Basil - 1.5 x 2.5 = 3.75 tsp
Oregano - 1 x 2.5 = 2.5 tsp
Sugar - 1 x 2.5 = 2.5 tsp
Worcestershire Sauce - o.5 x 2.5 = 1.25 tsp
Seasoning Salt - o.5 x 2.5 = 1.25 tsp
Bay leaf - 1 x 2.5 = 2.5

What I did - All I did was multiply all the original numbers by 2.5 to get the answer !.

1) What would the recipe look if you had to serve 1 person ? Show your calculations.

Ground beef - 1.25 ÷ 10 = 0.125 lb
Medium Onion diced - 2.5 ÷ 10 = 0.25
Stalked celery finely diced - 2.5 ÷ 10 = 0.25
Clove garlic minced - 2.5 ÷ 10 = 0.25
Canned tomatos chopped - 35 oz ÷ 10 = 3.5 oz
Canned tomato paste - 1.25 ÷ 10 = 0.125
Parsley - 2.5 ÷ 10 = 0.25 tsp
Basil - 3.75 ÷ 10 = 0.375 tsp
Oregano - 2.5 ÷ 10 = 0.25 tsp
Sugar - 2.5 ÷ 10 = 0.25 tsp
Worcestershire Sauce - 1.25 ÷ 10 = 0.125 tsp
Seasoning Salt - 1.25 ÷ 10 = 0.125 tsp
Bay leaf - 2.5 ÷ 10 = 0.25

What I did - From the last question I got the information I needed to know to serve 10 people so for this I just divided those by 10 to get 1. !