From home, Mary’s work is two thirds along the way to training. Training is 2.5km from work. Mary normally goes to work, then tr
aining and then home again. However, today she forgot her shoes. How far will Mary travel in total today if she has to go home before training to get her shoes?
1 answer:
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
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Answer:
Her aunt buy <u>75</u> trucks.
Step-by-step explanation:
Given:
Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks, Henry noticed that a fifth of his collection were convertible.
Now, to find the trucks her aunt buy.
Let the total collection of Henry be
<em>Number of trucks Henry had in his collection = 5.</em>
<em>Number of convertibles Henry had in his collection = 20.</em>
As, Henry's collection were convertible.
Now, to get the total number of collection:
<em>Multiplying both sides by 20 we get:</em>
<em>Total collection of Henry = 100.</em>
So, the total number of trucks he had in his collection is:
<u><em>Total collection of Henry - number of convertibles Henry had in his collection.</em></u>
<em>Hence, Henry had total 80 trucks in his collection.</em>
<em>And 5 trucks he had already in his miniature car collection.</em>
Now, to get the number of trucks her aunt buy we subtract trucks he had already in his miniature car collection from the total number of trucks in Henry's collection:
<u><em>Total number of trucks in Henry's collection - Number of trucks already in his miniature car collection.</em></u>
Therefore, her aunt buy 75 trucks.