Tameka has 4 coins in her purse. The value of coins is 30% of a dollar. Which could represent the coins in Temeka's purse?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

Since Tameka has 30% worth of a dollar. The total value of the coins in her purse = 0.30* $1 = $0.30 or 30 cents

Total worth of coins in Tameka's purse = 30 cents

The coins that are available are 1 cent coin, 5 cents coin (nickel), 10 cent coin (dime) or a 25 cent coin (quarter)

The only possible way for her to have 4 coins that add up to 30 cents is that she has two dimes and two nickels

2 dimes + 2 nickels = 2 *10 + 2* 5 = 20 + 10 = 30 cents

Answer: 2 dimes (10 cent coins) and 2 nickels ( 5 cent coins)

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Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

x = 20 -y . . . . . . . subtract y from the first equation

7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

140 -1.5y = 119 . . . . . . . . simplify

21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.