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The school store sells pens for $0.35 each and pencils for $0.15 each. Anthony spent $2.80 to buy a total of 12 pens and pencils. How many pens did Anthony buy?

User Danna
by
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1 Answer

6 votes

Answer:

The answer to your question is Antony bought 5 pens

Explanation:

Data

pens = p = $0.35

pencils = n = $0.15

total amount = 12

total money spent = $2.80

Process

1.- Write equations

p + n = 12 -------------- (l)

0.35p + 0.15n = 2.80 --------------(ll)

2.- Solve the system of equations by elimination

Multiply equation l by - 0.35

- 0.35p - 0.35n = -4.2

0.35p + 0.15 n = 2.8

0 - 0.2n = -1.4

Solve for n

n = -1.4 / -0.2

n = 7 He bought 7 pencils

3.- Find the value of p

p + 7 = 12

p = 12 - 7

p = 5 He bought 5 pens

User Bevin
by
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