Question

There are 678 chocolate cupcakes and 764 blueberry cupcakes. Which cupcakes are less in number and by how much?

Flavors	Chocolate	Blueberry
Number of pieces	$678$	$764$

• A. $\text{Blueberry},68$
• B. $\text{Chocolate},68$
• C. $\text{Chocolate},86$
• D. $\text{Blueberry},86$

Answer 1

The correct option is C $\text{Chocolate},86$

$\bullet$ The value at hundreds place in 764 is 7, and the value at hundreds place in 678 is 6.
$\bullet$ We know that 7 is greater than 6. Hence, 764 is greater than 678.
$\bullet$ While subtracting, we always subtract the smaller number from the larger number.
$\bullet$ Hence, to know how much 764 is more than 678, we will subtract 678 from 764 by expansion method.
$\bullet$ We expand 678 and 764 as follows:
$678=600+70+8$
$764=700+60+4$

$\bullet$ The ones place has 4 ones and 8 ones.
$\bullet$ The number in the next higher place is 60. Hence, to subtract, we regroup as follows:
$\to$ 10 is taken from tens place and added to ones place.
$\to$ In ones place, we get $10+4=14$.
The ones place now has 14 and 8 .
Subtracting 8 from 14, we get $14-8=6$.
$\to$ In tens place, we get $60-10=50$.
The tens places now has 50 and 70.
To subtract 70 from 50, we regroup.
100 is taken from hundreds place and added to tens place.
We get, $50+100=150$.
The tens place now has 150 and 70.
Subtracting 70 from 150, we get $150-70=80$.
$\bullet$ In hundreds place, we get $600-600=0$.
$\bullet$ $0+80+6=86$
$\bullet$ Hence, $764-678=86$.
$\bullet$ There are 86 less chocolate cupcakes as compared to the number of blueberry cupcakes.
Option B is the correct answer.