Question

Rachel can make $8$ cakes for a bakery each day. So far, she has orders for more than $32$ cakes. Choose the correct statement.

• A. Rachel will need to work for less than $2$ days
• B. Rachel will need to work for more than $4$ days
• C. Rachel will need to work for less than $4$ days
• D. Rachel will need to work for less than $3$ days

Answer 1

The correct option is C Rachel will need to work for less than $4$ days

Number of cakes Rachel can make in a day $=8$
It is given that she got orders for more than $32$ cakes.
Let $x$ be the number of days she needs to work.
The inequality condition is $8$ times the number of cakes greater than $32,$ i.e., $8x>32$

Dividing both sides of the inequality by $4$ we get

$\frac{8x}{8}>\frac{32}{8}\Rightarrow x>4$

$x>4$ means Rachel will need to work more than 4 days.
So, option B is correct.