SOLUTION: To prepare a fruit salad, Sandra buys 3 apples and 5 apricots. The amount of his invoice is $ 3.25. Knowing that an apple costs 15 ¢ more than an apricot how much does each fru

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Question 1173117: To prepare a fruit salad, Sandra buys 3 apples and 5 apricots. The amount of his invoice is $ 3.25.
Knowing that an apple costs 15 ¢ more than an apricot
how much does each fruit cost

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


(1) with formal algebra....

x = cost of each apricot (cents)
x+15 = cost of each apple

The total cost of 3 apples and 5 apricots is $3.25, or 325 cents:

3%28x%2B15%29%2B5%28x%29+=+325

Solve using basic algebra....

(2) Informally....

Pay the "extra" 15 cents for each of the 3 apples; the remaining cost is $3.25 minus 3 times 15 cents: $3.25-3($0.15) = $2.80.
The remaining cost of all 8 fruits is now the same: $2.80/8 = $0.35.
So the cost of each apricot is 35 cents; the cost of each apple is 35+15 = 50 cents.

CHECK: 3($0.50)+5($0.35) = $1.50+$1.75 = $3.25

Even if a formal algebraic solution is needed, solving the problem using logical reasoning and mental arithmetic is good brain exercise.


Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.

Sandra is a female name (see this Wikipedia article

https://en.wikipedia.org/wiki/Sandra_(given_name)#:~:text=Sandra%20is%20a%20female%20name,or%20%22defender%20of%20man%22.

Therefore, referring to her, you should write

    "The amount of her invoice is $ 3.25."

to be consistent.