Q. 248 Alison has $9.70 in dimes and qu... [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. 248 (page 164)

Alison has $9.70 in dimes and quarters. The number of quarters is eight more than four times the number of dimes. How many of each coin does she have?

Short Answer

Expert verified

The number of Quarters is = 36

The number of Dimes is = 7

Step by step solution

Step 1. Given Data

Alison has $9.70 in dimes and quarters. The number of quarters is eight more than four times the number of dimes.

Step 2. To Find

How many of each coin does she have?

Step 3. Explanation

Let The number of Dimes is = P

The number of Quarters is = 4P+8

Type	$N u m b e r 脳 V a l u e ($) = T o t a l V a l u e ($)$
Dimes	P	0.1	0.1P
Quarters	4P+8	0.25	0.25(4P+8)
			$9.70

Step 4. Calculation

after analyzing the table, We see that -

$0.1 P + 0.25 (4 P + 8) = 9.70$

$0.1 P + P + 2 = 9.70$

$1.1 P = 9.70 - 2$

$1.1 P = 7.70$

$P = 7$

The number of Dimes is = 7

The number of Quarters is = 4P+8

= $(4 脳 7 + 8)$

= 36

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91影视

Alison has $9.70 in dimes and quarters. The number of quarters is eight more than four times the number of dimes. How many of each coin 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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