Two trains, train a and train b, weigh a total 197. Train A is heavier than train b. The difference of their weights is 77 tons.
1 answer:
Answer:
The train A weighs 137 tons and train B weighs 60 tons.
Step-by-step explanation:
We are given the following in the question:
There are two trains.
Train A and Train B.
Let x tons be the weight of train A and y tons be the weight of train B.
Total weight = 197 tons.
Thus, we can write the equation:
Train A is heavier than train B.
The difference of their weights is 77 tons.
Thus, we can write the equation:
Solving the two equations, we get,
Thus, the train A weighs 137 tons and train B weighs 60 tons.
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Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for y by dividing by 15.
The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.