2) Mr Lim gave $3600 to his wife and two children altogether. His wife received…

2) Mr Lim gave $3600 to his wife and two children altogether. His wife received $500 more than his son. His son received twice as much as his daughter. How much did Mr Lim’s wife received? (W.Bk SA : pg 28 #6)

The correct answer is: $1740$

Explanation

Let the amounts received be $W$ (wife), $S$ (son) and $D$ (daughter). We are given $W=S+500$, $S=2D$, and $W+S+D=3600$. Solve these equations to find $W$.

Steps:

  1. Write the relations: $W=S+500$, $S=2D$.
  2. Substitute into the total: $(S+500)+S+D=3600\Rightarrow 2S+D=3100$.
  3. Substitute $S=2D$: $2(2D)+D=3100\Rightarrow 5D=3100\Rightarrow D=620$.
  4. Then $S=2D=1240$ and $W=S+500=1240+500=1740$.

Therefore, Mr Lim’s wife received $1740$.

100% (3 rated)

Related

Q6.1. If there is NO VARIATION in shell thickness within a population of snails, and no mutations occur, what happens to shell thickness in response to crab predation? ○ Shell thickness does not evolve in the population. ○ Shell thickness evolves for some snails in the population. ○ Shell thickness increases for all snails in the population. ○ Average shell thickness in the population evolves over several generations. Submit Q6.2. If there is NO SELECTIVE SURVIVAL based on shell thickness within a population of snails, what happens to shell thickness in response to crab predation? ○ The average shell thickness increases within each generation, but there is no change in shell thickness from generation to generation. ○ There is evolution by natural selection of shell thickness, and average shell thickness increases every generation. ○ There may be evolution of shell thickness, but not through natural selection and not necessarily toward thicker shells. ○ There is no change in shell thickness within the population. Submit Q6.3. If mutations arise that affect shell thickness within a snail population, then with crabs present, those mutations: ○ Will result in offspring having thicker shells than their parents. ○ Will result in offspring having thicker or thinner shells than their parents. ○ Will happen because the parents choose to give them to their offspring. ○ Will occur because crabs are present and snails need protection against predation. Submit Answer saved to SimUText server.