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Question 88526: Sure, it’s a word problem, but here, you just need to write an inequality (no graphs, please!) Part (a) of Example 5 on p. 641 is the best model in the text for solving this problem. Things to think about: How much, in dollars, is a dime worth? How much is a quarter worth in dollars? Finally, compared to Example 5, note that “at least” would be a direct opposite to “at most” in deciding which inequality (“>”, “<”, “≥”, or “≤”) to use….
38) Number problem. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 38) Number problem. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.
:
The basic equation; d = no. of dime, q = no. of quarters
:
.10d + .25q => 30
Or
.10d => 30 - .25q
Or
.25q => 30 - .10d
:
dimes equation
.10d => 30
d => 300 - 2.5q; divided both sides by .1
:
quarters equation
.25q => 30 - .10d
q => 120 - .4d; divided both sides by .25
:
For example:
The dime equation shows that if you have 0 quarters you need at least 300 dimes
and
The quarter equation shows that if you 0 dimes, you need at least 120 quarters
:
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