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26 Jun 2018, 20:50
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (01:53) correct
15%
(02:05)
wrong
based on 221
sessions
History
Date
Time
Result
Not Attempted Yet
Pens cost 70 cents each and pencils cost 40 cents each. If Iris spent $5.20 on a total of 10 pens and pencils, how many pencils did she purchase? ($1 = 100 cents)
(A) 4
(B) 6
(C) 8
(D) 10
(E) 13
(A) 4
(B) 6
(C) 8
(D) 10
(E) 13
26 Jun 2018, 21:52
Kudos
Bookmarks
Solution
Given:
- • Each pen costs 70 cents
• Each pencil costs 40 cents
• Iris spent $5.20 on a total of 10 pens and pencils
To find:
- • The number of pencils did Iris purchase
Approach and Working:
If we assume that Iris purchased n pencils, then
- • Number of pens that she purchased = 10 – n
As she spent $5.20 in total, we can write
- • 70 (10 – n) + 40 n = 520
Or, 700 – 70n + 40n = 520
Or, 30n = 180
Or, n = 6
Hence, the correct answer is option B.
Answer: B
27 Jun 2018, 04:52
Kudos
Bookmarks
Pens (x) + Pencil (y) = 10 -> eq (1)
70x + 40y = 520 -> eq(2)
----------------------
70x + 40y = 520
-40x - 40y = -400 (Multiply eq(1) with -40 on both sides )
--------------------------
30x = 120
x = 4
sub x in eq(1) and hence y = 6
Answer: B
70x + 40y = 520 -> eq(2)
----------------------
70x + 40y = 520
-40x - 40y = -400 (Multiply eq(1) with -40 on both sides )
--------------------------
30x = 120
x = 4
sub x in eq(1) and hence y = 6
Answer: B
