I feel sorry for Becky and Tommy. The one who didn't come up with x=-10/3 made an error.
first bring 8x to the left and -25 to the right and simplify:
-4x-8x = 25+15 => -12x = 40
x = -40/12 = -10/3
The ratio would be 75:45 so there would be 75 waters and 45 sodas
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Answer:
there are 9 quarters and 19 dimes
Step-by-step explanation:
Let x be the number of dimes and y the number of quarters
-dimes: 0.1x
-quarters: 0.25y
-the total amount of coins : x + y = 28
=> x = 28 - y
We have the equation:
0.25y + 0.1x = 4.15
0.25y + 0.1(28 - y) = 4.15
0.25y + 2.8 - 0.1y = 4.15
0.15y = 1.35
y = 9
x = 28 - y
= 28 - 9
= 19
X = -2 and -5
You can set both equal to 0 to find the answers.