Question

A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was $1,068 remaining. How much money did the club have at first

Answer 1

$355 \times 199 + 1068 =$

Answer 2

The club has $ 71,713 before purchasing the new chairs

Further explanation

Total of purchase 355 chairs

Price/chair $199

Money left after purchase $1,068

How much money the club has before purchasing the chairs?

Step by step explanation

First, we are going to calculate total money have spent on chairs using the area model for three digits multiplication.

$=\boxed {355 \times199\ }\\ =\boxed {(300+50+5) \times(100+90+9)\ }$

$= (300 \times100) + (300 \times90) + (300 \times9) + (50 \times100) + (50 \times90) + (50 \times9) + (5 \times100) + (5 \times90) + (5 \times9)\\ = 30000 + 27000+ 2700 + 5000 + 4500 + 450 + 500 +450 + 45\\= \boxed {70645\ }$

The total money for purchase the chairs is $ 70,645, the money left after purchase is $1,068, we can calculate the money that the club has before purchase by using additional method

$= \boxed {70645+1068\ }\\ = \boxed {71713\ }$

So, total money the club has at first is $ 71,713

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Keywords: multiplication, standard algorithm, area model, three digits multiplication, additional