Ratio & Probability Problems 7:2 - Solve Ratio and Probability Questions

Oct 22, 2026

Works through ratio and probability exercises using a managed forest scenario with three tree types: beech, holly, and maple. Students write ratios in multi-part form, scale given numbers to find missing counts, and compute choice probabilities including complements (e.g., not beech). The problem set updates ratios due to increased demand for beech and then recalculates counts and probabilities. Survival probability of saplings is applied to estimate adult trees from a given planting total.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Ratio and Probability Problems 7:2

Initial tree ratios (beech, holly, maple)

Updated tree ratios (increased beech demand)

Probability questions and complements

Sapling survival to adult trees

RATIO & PROBABILITY PROBLEMS 7:2 Write your ratio answers in the form : Write your probability answers as a fraction. In a managed forest, three different saplings are planted. The trees are beech, holly and maple. For every beech tree planted, there are 2 holly trees planted and 5 maple trees planted. 1) Write down the ratio of trees beech : holly : maple trees 2) If 6 beech trees were planted, how many holly trees would be planted? 3) If 40 maple trees were planted, how many beech trees would be planted? 4) What is the probability that a tree chosen at random: a) would be a beech? b) would be a maple? c) would be a holly? d) would not be a beech? Due to a rise in the demand for beech, the ratios of trees planted change to 3 beech : 2 holly : 5 maple. 5) If 36 beech trees were planted, how many maple trees would be planted? 6) If 80 trees were planted altogether, how many trees would be: a) beech = trees b) holly = trees c) maple = trees 7) What is the probability that a tree chosen at random: a) would be maple? b) would not be holly? c) would not be beech or maple? d) would be a holly or beech? The saplings have a probability of 70% of surviving to become adult trees. 8) If 80 trees are planted, about how many will become adult trees? RATIO & PROBABILITY PROBLEMS 7:2 ANSWERS In a managed forest, three different trees are planted. The trees are beech, holly and maple. For every beech tree planted, there are 2 holly trees planted and 5 maple trees planted. 1) Write down the ratio of trees. 1 beech : 2 holly : 5 maple trees 2) If 6 beech trees were planted, how many holly trees would be planted? 12 3) If 40 maple trees were planted, how many beech trees would be planted? 8 4) What is the probability that a tree chosen at random: a) would be a beech? 1/8 b) would be a maple? 5/8 c) would be a holly? 2/8 or 1/4 d) would not be a beech? 7/8 Due to a rise in the demand for beech, the ratios of trees planted changes to 3 beech : 2 holly : 5 maple. 5) If 36 beech trees were planted, how many maple trees would be planted? 60 6) If 80 trees were planted altogether, how many trees would be: a) beech = 24 trees b) holly = 16 trees c) maple = 40 trees 7) What is the probability that a tree chosen at random: a) would be maple? 5/10 or 1/2 b) would not be holly? 8/10 or 4/5 c) would not be beech? 7/10 d) would be a holly or beech? 5/10 or 1/2 The saplings have a probability of 70% of surviving to become adult trees. 8) If 80 trees are planted, about how many will become adult trees? 70% of 80 = (10% of 80) x 7 = 8 x 7 = 56. So 56 of the 80 trees will become adult trees.

FAQs

How do you express the ratio of beech : holly : maple trees?

Write the three-part ratio using the given relationships between beech, holly, and maple (first 1:2:5, then updated to 3:2:5).

If 6 beech trees were planted, how many holly trees would be planted (initial ratio)?

Using the initial ratio 1 beech : 2 holly, 6 beech corresponds to 12 holly trees.

What probability or estimate is used for sapling survival to adult trees?

Saplings survive with probability 70%, so about 70% of the planted total become adult trees (for 80 trees, about 56).

How do you compute probability questions like “would not be a beech”?

Use the complement probability: probability(not beech) equals 1 minus probability(beech), using the ratio-derived fractions.

Oct 22, 2026

Uploaded by anakgang17