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Maya travels to school every weekday. When the weather is nice, she rides her bike, which takes a route that is 2 3/4 km long. On rainy days, her mom drives her to school using a shorter route of 2 km.
Last week, it rained for 2 days, and the weather was nice for the other 3 school days.
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How many kilometers did Maya travel to school in total last week?
Let’s break this down step by step:
1. For the 2 rainy days:
– Distance each day: 2 km
– Total for rainy days: 2 km × 2 = 4 km
2. For the 3 nice weather days:
– Distance each day: 2 3/4 km = 2.75 km
– Total for nice days: 2.75 km × 3 = 8.25 km
3. Total distance for the week:
– 4 km (rainy days) + 8.25 km (nice days) = 12.25 km
Therefore, Maya traveled 12.25 km to school in total last week.
Alternative method:
We could also solve this using fractions throughout:
– Nice weather days: 2 3/4 km × 3 = 8 1/4 km
– Rainy days: 2 km × 2 = 4 km
– Total: 8 1/4 km + 4 km = 12 1/4 km = 12.25 km