Question

Ben is making math manipulatives to sell. he wants to ay least sell $450. each manipulative costs $18 to make. he is selling them for $30 each. what is the minimum number he can sell to reach his goal?

Answer 1

30-18=12
450/12=37.5. As you can't sell half of a math manipulative you have to round it up. This makes it 38

Answer 2

Ben can sell 38 pieces of math manipulatives to reach his goal

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

• 7 = dividend
• 3 = divisor
• 2 = quotient
• 1 = remainder

The form of division can also be expressed in terms of fractions

In the number above, the form of fraction obtained is the form of mixed fractions

$\displaystyle \frac{7}{3} =2\frac{1}{3}$

Mixed fractions consist of integers and ordinary fractions

Division operation statement:

"7 divided by 3 equals 2 remainder 1

Known

Ben wants to at least sell $450 math manipulatives

each manipulative costs $18 to make

selling price : $30 each

Asked

the minimum number of math manipulatives he can sell to reach his goal

Answer

the benefits of each math manipulative he sells:

benefit = selling price - making price

benefit = $30 - $18

benefit =$12

Because what Ben wants is to make a profit at least $450, the amount that must be sold:

$\displaystyle \frac{\ 450}{\ 12}$

= $\large{\boxed{\bold{37.5\:pieces}}$

we round up : $\large{\boxed{\boxed{\bold{38\:pieces}}}$

Learn more

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Keywords: division, math manipulatives, sell