Question
4
3.1.2
(2)
3.2 Calculate the value of
if :
(2)
3.3 Share 60 oranges amongst 3 Grade 8 learners in the ratio
.
(3)
3.4 If the ratio of boys to girls in a school is
and there are 200 boys, calculate the total number of learners in the school.
(3)
3.5 A jar is filled with R2 - coins and R5 - coins. The ratio of the number of R2 - coins to the ratio of the number of R5 - coins is
. There are 245 R5 - coins in the jar.
3.5.1 How many R2 - coins are in the jar?
(3)
3.1.2
(2)
3.2 Calculate the value of
(2)
3.3 Share 60 oranges amongst 3 Grade 8 learners in the ratio
(3)
3.4 If the ratio of boys to girls in a school is
(3)
3.5 A jar is filled with R2 - coins and R5 - coins. The ratio of the number of R2 - coins to the ratio of the number of R5 - coins is
3.5.1 How many R2 - coins are in the jar?
(3)
Ask by Christensen Pollard. in South Africa
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- 3.1: The ratio is 3:1:2.
- 3.2:
. - 3.3: First learner gets 12 oranges, second learner gets 30 oranges, and third learner gets 18 oranges.
- 3.4: There are 550 learners in total.
- 3.5.1: There are 175 R2 coins in the jar.
Solution
Let’s solve each part of the problem step by step.
3.1 Calculate the ratio
To compare these fractions, we can convert them to a common denominator. The least common multiple (LCM) of the denominators (4, 12, and 6) is 12.
-
Convert each fraction:
-
-
Now we can express the ratio:
3.2 Calculate the value of
if
To find
, we can set up a proportion:
Cross-multiplying gives:
Now, divide both sides by 3:
3.3 Share 60 oranges amongst 3 Grade 8 learners in the ratio
First, we need to find the total parts in the ratio:
Next, we can find the value of one part:
Now, we can distribute the oranges:
- First learner:
- Second learner:
- Third learner:
So, the distribution is:
- First learner: 12 oranges
- Second learner: 30 oranges
- Third learner: 18 oranges
3.4 If the ratio of boys to girls in a school is
and there are 200 boys, calculate the total number of learners in the school.
Let the number of boys be
and the number of girls be
.
Given that
:
Now, calculate the number of girls:
Total number of learners:
3.5 A jar is filled with R2 - coins and R5 - coins. The ratio of the number of R2 - coins to the number of R5 - coins is
. There are 245 R5 - coins in the jar.
3.5.1 How many R2 - coins are in the jar?
Let the number of R2 coins be
and the number of R5 coins be
.
Given that
:
Now, calculate the number of R2 coins:
Summary of Answers:
- 3.1:
- 3.2:
- 3.3: First learner: 12 oranges, Second learner: 30 oranges, Third learner: 18 oranges
- 3.4: Total learners = 550
- 3.5.1: R2 coins = 175
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
Have you ever wondered how ratios pop up all around us? From cooking delicious recipes to mixing the perfect paint colors, ratios are like the secret codes of the universe that help us blend things together harmoniously! In everyday life, understanding ratios can help you make the most accurate decisions, whether it’s doubling a recipe or figuring out the best seat in a movie theater relative to its screen size!
Now, if you dive deeper into the world of ratios, you’ll find some fascinating puzzles where creative thinking stands out! For instance, when tackling ratio problems in math, be on the lookout for common pitfalls. A frequent misstep is forgetting to reduce ratios to their simplest form, which can lead to confusion. Ensuring all parts of the ratio are expressed in whole numbers is crucial before jumping into calculations—because let’s face it, nobody likes unnecessary complications!