Answer :
Final answer:
The builder needs 10 buckets of sand and 4 buckets of cement to make 14 buckets of mortar, based on the mixing ratio of 5:2.
Explanation:
The question involves a mixing ratio problem, where the builder needs to create 14 buckets of mortar using a sand-to-cement ratio of 5:2. To find the number of buckets of sand and cement needed, we first add the parts of the ratio together (5 parts sand + 2 parts cement = 7 parts total). Then, to find out how many parts each bucket of mortar contains, we divide the total number of buckets needed (14) by the total parts (7), which gives us 2. This tells us that each part in our ratio represents 2 buckets. We then multiply the number of parts for sand (5) and cement (2) by the number of buckets per part (2) to get the number of buckets for each material. The builder will need 5 parts × 2 buckets per part = 10 buckets of sand and 2 parts × 2 buckets per part = 4 buckets of cement to make 14 buckets of mortar.
Final answer:
In a 5:2 ratio for 14 buckets of mortar, the builder will require 10 buckets of sand and 4 buckets of cement.
Explanation:
The question is asking about the ratio of sand to cement to make mortar, and given the ratio 5:2, meaning 5 parts sand to 2 parts cement. If the builder needs a total of 14 buckets of mortar, we need to divide these buckets based on the given ratio.
First, we must understand that the ratio of 5:2 sums up to 7 parts (5+2). For each 'part', we can calculate it as the total required buckets (14) divided by the total number of parts (7), which is 14 ÷ 7 = 2 buckets per part.
Following the ratio, the builder will therefore require 5 parts of sand and 2 parts of cement. This equates to 5 parts * 2 buckets/part = 10 buckets of sand and 2 parts * 2 buckets/part = 4 buckets of cement.
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