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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q 2.26 (page 110)

Solve $0.1 d + 0.05 (d - 5) = 2.15$

Short Answer

Expert verified

The answer is $d = 16$

Step by step solution

01

Step 1. Given Information

The equation is $0.1 d + 0.05 (d - 5) = 2.15$

Find the value of d and check.

02

Step 2. Calculation

Simplify the equation $0.1 d + 0.05 (d - 5) = 2.15$

$0.1 d + 0.05 d - 0.25 = 2.15$

Combine like terms,

$0.15 d = 2.4$

Multiply by 100

$15 d = 240$

Isolate d

$d = 16$

03

Step 3. Check

Substitute $d = 16$ in $0.1 d + 0.05 (d - 5) = 2.15$

$0.1 (16) + 0.05 (16 - 5) = 2.15 1.6 + 0.05 (11) = 2.15 1.6 + 0.55 = 2.15 2.15 = 2.15$

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See all solutions

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