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Zigmanuir [339]
3 years ago
13

Jasmine is 20 years old. Her brother Zac is 6 years more than half her age. Which of the following is the correct expression for

Zac's age?
a. (20 ÷ 2) + 6
b.(20 ÷ 2) − 6
c. 10 x 2 + 4
d. 10 − (2 x 4)
Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer: Half of jasmine's age=(20÷2)

Her brother is 6 years more than half her age= (20÷2)+6 (a)

Step-by-step explanation:

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Answer:

  • <u>120 pens and 200 pencils.</u>

<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

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<u>2. Cost</u>

  • <em>each pen costs</em> $1, then x pens costs: x
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  • Then, the total cost is: x + 0.5y

  • The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

<u>3. </u><em><u>There were 80 more pencils than pens</u></em>

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

<u>4. Solve the system</u>

i) Substitute the equation (2) into the equation (1):

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ii) Solve

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iii) Substitute x = 120 into the equation (2)

  • y = 80 + 120
  • y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

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