Word Problem Wednesday: Sunny with a Chance of Rain

By Mathnasium | September 23, 2020

Solutions

Excellent!  Are you ready to check your answer? Look below to see if your solution matches ours.

Lower Elementary:
Answer:  6 daysSolution: The total number of cloudy and rainy days is 7 + 3 = 10 days. There are 4 sunny days so, 10 – 4 = 6 more cloudy and rainy days than sunny days.

Upper Elementary:
Answer:  29 1/4 inches
Solution: Since 1 inch of rain is equivalent to 13 inches of snow, 2 inches of rain equals 26 inches of snow.  To find how much 1/4 inches of rain is in snow, we need to find 1/4 of 13.  To find a quarter of a number, we can take half of a half. Half of 13 is 6 1/2, and half of that is 3 1/4 inches.  
Altogether, 26 + 3 1/4 = 29 1/4 inches.

Middle School:
Answer:  Heavy RainfallSolution: Using 1 inch ≈ 25 mm, we find 2.4 inches ≈ 60 mm.  Since there are 8 hours from 4 a.m. to 12 p.m. we can find the rate of rainfall over that time period, 60 mm ÷ 8 hours = 7.5 mm/hr. Now, we can use the chart to see 7.5 mm/hr is considered heavy rainfall.  

Algebra and Up:
Answer: 16% or 0.16 or 4/25
Solution: Making a probability tree, we see

Since there is a 40% chance of rain on both days, we multiply 0.40 × 0.40 = 0.16.