Q. 244 Liliana has $2.10 in nickels and... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 244 (page 164)

Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. how many coins of each type does she have?

Short Answer

Expert verified

The number of Quarters is = 5

The number of Nickels is = 17

Step by step solution

Step 1. Given Data

Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters.

Step 2. To Find

How many coins of each type does she have?

Step 3. Explanation

The number of Quarters is = P

The number of Nickels is = P+12

Type	$N u m b e r 脳 V a l u e ($) = T o t a l V a l u e ($)$
Quarters	P	0.25	0.25P
Nickels	P+12	0.05	0.05(P+12)
			$2.10

Step 4. Calculation

after analyzing the table, We see that -

$0.25 P + 0.05 (P + 12) = 2.10$

$0.25 P + 0.05 P + 0.6 = 2.10$

$0.25 P + 0.05 P = 2.10 - 0.6$

$0.3 P = 1.5$

$P = 5$

The number of Quarters is = 5

The number of Nickels is = P+12

= $(5 + 12)$

= 17

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91影视

Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. how many coins of each type does she have?

Short Answer

Step by step solution

Step 1. Given Data

Step 2. To Find

Step 3. Explanation

Step 4. Calculation

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