10. Allen is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. PART A Allen buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain. PART B Allen decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need? Explain.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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10. Allen is mixing red and yellow paints to make two different shades of
orange. To make 1 cup of dark orange paint, he needs 7 ounces of red
paint and 1 ounce of yellow paint. To make 2 cups of light orange paint,
he needs 13 ounces of yellow paint and 3 ounces of red paint.
PART A
Allen buys a 32-oz can of red paint. Does
he have enough red paint to make 3 cups
of dark orange paint and 3 cups of light
orange paint? Explain.
PART B
Allen decides to make 3 cups of dark
orange paint and 3 cups of light orange
paint. How many ounces of yellow paint
does he need? Explain.
Transcribed Image Text:10. Allen is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. PART A Allen buys a 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange paint? Explain. PART B Allen decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he need? Explain.
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