Problem Solving with Ratios and Recipes
1)
The ratio of red to yellow counters is 3 : 1
a)
There are 3 yellow counters, how many red counters are
there?
b)
There are 20 counters in total. How many are red?
c)
There are 4 more red counters than yellow. How many
counters are there in total?
20
Red
Yellow
Red
Yellow
1)
The ratio of red to yellow counters is 3 : 1
a)
There are 3 yellow counters, how many red counters are
there?
b)
There are 20 counters in total. How many are red?
c)
There are 4 more red counters than yellow. How many
counters are there in total?
20
Red
Yellow
Red
Yellow
9 red counters
5
5
5
5
15 red counters
4
2
2
2
2
8 counters in total
Soup recipe
Serves 4 people.
1 onion
3 carrots
10 g cheese
400 ml water
This recipe for soup
serves 4 people.
How much of each
ingredient would I
need for 8 people?
If 1 onion serves 4 people, then
2
onions
would serve 8 people.
2 people
Have a think
Soup recipe
Serves 4 people.
1 onion
3 carrots
10 g cheese
400 ml water
How much of each
ingredient would I
need for 10 people?
Have a think
Soup recipe
Serves 4 people.
1 onion
3 carrots
10 g cheese
400 ml water
Soup recipe
Serves 8 people.
2 onions
6 carrots
20 g cheese
800 ml water
Soup recipe
Serves 4 people.
1 onion
3 carrots
10 g cheese
400 ml water
Have a go at questions
1 - 3 on the worksheet
For a school trip, there are 7 students for every
1 teacher.
If 40 people are on the trip how many teachers
and students are there?
1 teacher
7 students
2 teachers
14 students
3 teachers
21 students
4 teachers
28 students
5 teachers
35 students
8 people
16 people
24 people
32 people
40 people
For 40 people, there would be 5 teachers and
35 students.
5 teachers
35 students
40 people
For 40 people, there would be 5 teachers and
35 students.
In the 35 students, there are 2 boys to every 3 girls.
How many boys are on the trip?
Have a think
35 students
In the 35 students, there are 2 boys to every 3 girls.
How many boys are on the trip?
14 boys
21 girls
The perimeter of this rectangle is 54 cm.
Alex has drawn two similar rectangles.
This rectangle is 3 times smaller.
What could the length and width of
the smaller rectangle be?
Have a think
The perimeter of this rectangle is 18 cm.
What could the length and width of
the smaller rectangle be?
Have a go at the rest of
the questions on the
worksheet
This collection of exercises involves solving ratio problems related to red and yellow counters, as well as calculating ingredient quantities for soup recipes based on different serving sizes. Practice your math skills and cooking knowledge with these varied scenarios.
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Presentation Transcript
1) The ratio of red to yellow counters is 3 : 1 a) There are 3 yellow counters, how many red counters are there? b) There are 20 counters in total. How many are red? Red 20 Yellow c) There are 4 more red counters than yellow. How many counters are there in total? Red Yellow
1) The ratio of red to yellow counters is 3 : 1 a) There are 3 yellow counters, how many red counters are there? 9 red counters b) There are 20 counters in total. How many are red? 5 5 5 Red 20 4 20 5 15 red counters Yellow c) There are 4 more red counters than yellow. How many counters are there in total? 2 2 2 Red 8 counters in total 4 2 Yellow
Soup recipe This recipe for soup serves 4 people. Serves 4 people. How much of each ingredient would I need for 8 people? 1 onion 3 carrots 10 g cheese 400 ml water
1 onion 1 onion 1 person 1 person 1 person 1 person 1 person 1 person 1 person 1 person If 1 onion serves 4 people, then 2 onions would serve 8 people.
1 onion 4 people 2 2 3 3 2 onions 8 people 4 4 2 3 onions 12 people 2 4 onions 16 people
Have a think 3 carrots 4 people 2 2 3 3 6 carrots 8 people 6 2 6 2 9 carrots 12 people 18 carrots 11 2 carrots 24 people 2 people
Have a think Soup recipe Serves 4 people. How much of each ingredient would I need for 10 people? 1 onion 3 carrots 10 g cheese 400 ml water
Soup recipe Soup recipe 2 Serves 8 people. Serves 4 people. 2 onions 6 carrots 20 g cheese 800 ml water 1 onion 3 carrots 10 g cheese 400 ml water 2
Soup recipe Soup recipe 2 Serves 2 people. Serves 4 people. 1 2 onion 11 2 carrots 5 g cheese 200 ml water 1 onion 3 carrots 10 g cheese 400 ml water 2
Soup recipe Serves 10 people. 21 71 2 carrots 25 g cheese 1,000 ml water 2 onions
Have a go at questions 1 - 3 on the worksheet
For a school trip, there are 7 students for every 1 teacher. If 40 people are on the trip how many teachers and students are there?
7 students 14 students 21 students 28 students 35 students 1 teacher 2 teachers 3 teachers 4 teachers 5 teachers 8 people 16 people 24 people 32 people 40 people For 40 people, there would be 5 teachers and 35 students.
35 students 5 teachers Have a think 40 people In the 35 students, there are 2 boys to every 3 girls. For 40 people, there would be 5 teachers and 35 students. How many boys are on the trip?
35 students 14 boys 21 girls In the 35 students, there are 2 boys to every 3 girls. How many boys are on the trip?
Alex has drawn two similar rectangles. The perimeter of this rectangle is 54 cm. Have a think This rectangle is 3 times smaller. 54 3 = 18 cm What could the length and width of the smaller rectangle be?
The perimeter of this rectangle is 18 cm. What could the length and width of the smaller rectangle be? 2?+ 2?= 18 2 + 16 = 18 W = 1 cm L = 8 cm 4 + 14 = 18 W = 2 cm L = 7 cm W = 3 cm L = 6 cm 6 + 12 = 18
Have a go at the rest of the questions on the worksheet
