IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Number-Absolute Values
Topic :Number- Weightage : 21 %
All Questions for Topic : Absolute Values,Representing and Solving Inequalities,Including compound and double inequalities,Irrational numbers,Surds, roots and radicals, including simplifying,Standard form (scientific notation),Laws of exponents, including integer and negative exponents,Number systems notation,Direct and Inverse Proportion,Number Sequence(Prediction ,Description)
Question (8 Marks)
The image shows a jar containing 50 cent coins and $\$ 1$ coins.
The ratio of the 50 cent coins to the $\$ 1$ coins is $5: 7$.
Question (a) : 1 marks
The number of $\$ 1$ coins in the jar is 140 . Show that the number of 50 cent coins is 100 .
▶️Answer/Explanation
Ans:
The ratio of the 50 cent coins to the $\$ 1$ coins is given as $5:7$.
Let’s denote the number of 50 cent coins as $x$.
We are given that the number of $\$ 1$ coins in the jar is 140.
Using the given ratio, we can set up the equation:
$\frac{x}{140} = \frac{5}{7}$
To find the number of 50 cent coins, we can solve for $x$:
$x = \frac{140 \times 5}{7}$
Simplifying this equation, we have:
$x = \frac{700}{7}$
$x = 100$
Therefore, the number of 50 cent coins in the jar is indeed 100.
Question (b) : 2 marks
Hence, determine the total value of the coins in the jar.
▶️Answer/Explanation
Ans:
To determine the total value of the coins in the jar, we need to consider the value of each type of coin and multiply it by its respective quantity.
Given that there are 100 50 cent coins and 140 $1 coins in the jar, we can calculate the total value as follows:
Value of 50 cent coins $= \$ 0.50 \times 100 = \$ 50$
Value of $\$ 1$ coins $= 1 \times 140 = \$ 140$
To find the total value of the coins in the jar, we add up the values of the 50 cent coins and $1 coins:
Total value = Value of 50 cent coins + Value of $\$ 1$ coins
$= \$ 50 + \$ 140$
$=\$ 190$
Therefore, the total value of the coins in the jar is $\$ 190$ .