Sam and billy are to split $35 in the ratio 4:3. how much will billy get? cab you please explain the answer to me!
Let S = what Sam gets and B = what Billy gets.
S/B = 4/3
S + B = 35
(4/3 B) + B = 7/3 B = 35
B/3 = 5
Complete the solutioon.
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To find out how much Billy will get, we need to first divide the total amount, $35, into parts that correspond to the given ratio of 4:3.
Step 1: Calculate the total number of parts.
To find the total number of parts in the ratio 4:3, we need to add the two parts together:
4 + 3 = 7 parts.
Step 2: Determine the value of each part.
To find the value of each part, we need to divide the total amount by the total number of parts:
$35 ÷ 7 = $5.
Step 3: Calculate Billy's share.
Billy's share is determined by the ratio, which is 3 parts. Therefore, we multiply the value of each part by Billy's share:
$5 × 3 = $15.
So, Billy will get $15.