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scoundrel [369]
2 years ago
13

A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order

x boxes of pens that cost $10.50 each.
What is the maximum number of boxes of pens the business assistant can buy?

10

14

15

23
Mathematics
2 answers:
ahrayia [7]2 years ago
7 0
The awnser is 14. If u divide 200 by 10.50. And keep atleast $50 remaining it is 14
Neko [114]2 years ago
6 0

Answer: 14


Step-by-step explanation:

Given: The total balance in the account = $200

Also the business assistant must leave more than $50 in the supply account.

Therefore, the maximum amount he can use to order boxes= \$200-\$50=\$150..(1)

Since the assistant needs to order x boxes of pens.

Cost of each box = $10.50

Therefore, cost of x boxes=10.50 x

From (1), we have the inequality

10.50x\leq150\\\\\Rightarrow\ x\leq\frac{150}{10.50}\\\\\Rightarrow\ x\leq14.285\\\Rightarrow\ x=14....\text{[since 14 is the maximum whole number less than 14.285]}

Hence, the business assistant can buy maximum 14 boxes of pens.



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Answer:

Solution: x = 2, y = -1 or (2, -1)

Step-by-step explanation:

Equation 1:  2x + y = 3

Equation 2: 5x - 2y = 12

Using the substitution method:

Transform the Equation 1 into its slope-intercept form:

2x + y = 3

2x - 2x + y = -2x + 3

y = 2x + 3

Substitute the value of y = -2x + 3 into Equation 2:

5x - 2y = 12

5x - 2(-2x + 3) = 12

5x + 4x - 6 = 12

9x - 6 = 12

9x - 6 + 6 = 12 + 6

9x = 18

9x/9 = 18/9

x = 2

Substitute the value of x = 2 into Equation 2 to solve for y:

5x - 2y = 12

5(2) - 2y = 12

10 - 2y = 12

10 - 10 - 2y = 12 - 10

-2y = 2

-2y/-2 = 2/-2

y = -1

Double-check whether the values for x and y will provide a true statement for both equations:

Equation 1:  2x + y = 3

2(2) + (-1) = 3

4 - 1 = 3

3 = 3 (True statement)

Equation 2: 5x - 2y = 12

5(2) - 2(-1) = 12

10 + 2 = 12

12 = 12 (True statement)

Therefore, the correct answers are: x = 2; y = -1 or (2, -1).

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