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Ratio
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Word Problems
100

A bag of candy had 4 purple ones for every 15 blue ones. If the bag had 110 more blue ones than purple ones, how many purple ones were in the bag?

40 purple pieces

100
50 cm of wire is bent to form a triangle in the ratio 1 : 2 : 2. What is the length of the shortest side? ==> Unitary
What is 10 cm?
100
A school has 100 grade 6's, 120 grade 7's and 100 grade 8's. What is the ratio fo grade 8's to grade 7's in simplest form.
5:6
200

A beaker contained 4 liters of water. 2 liters of water was added. What was the ratio of the amount of water in the container at first to the amount of water that was added? (in simplest form)

What is 2 : 1?

200
The ratio of the number of students to teachers to administrators at New School is 13 : 6 : 1. There are 200 people at the school. How many more students than teachers are there? ==> Ratio Table
What is 70?
200

45 cubic inches of dirt are mixed with 15 cubic inches of water. How much dirt is needed for 5 cubic inches of water? ==> Ratio Table

15 cubic inches?

300

Tom gave $200 to first grade and $300 to third grade. What is the ratio of the amount he gave to first grade to the total amount that he gave? (in simplest form)

What is 2 : 5?

300
When building a fort, I need 20 kg of wood, 10 kg of nails, and 15 kg of bricks. What is the ratio of wood to bricks to nails in simplest form.
What is 4 : 3 : 2?
300

3 tsp of baking soda are mixed with 12 tsp of flour. How much flour is needed to make 60 tsp of the mixture? ==> Unitary

48 tsp

400

A pie was cut into two in the ratio of 2 : 3. If the smaller piece weighed 40 g, how much did the whole pie weigh? 

What is 100 g?

400
When building a fort, I need 20 kg of wood, 10 kg of nails, and 15 kg of bricks. How much wood do I need if my whole fort weighs 81 kg? ==> Ratio table
36 kg
400
Sarah drove 75 miles in two trips in the ratio of 3 : 2. How far did she drive on the second leg of the trip? ==> Unitary
What is 30 miles?
500

Jo paid $28 less for Magic cards than Bob did. The ratio of the amount Jo paid to the amount Bob paid was 3 : 7 . How much did Bob pay? 

$49

500
The permiter of a rectangle is 18 inches. It's width is 3 inches. What is the ratio of its length to its width in simplest form?
What is 2 : 1?
500
Three kids share an amount of marbles in the ratio of 4:3:2. If the smallest amount is 16 marbles, how many more marbles does the largest amount have?
What is 16 marbles?