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Question 1122877: 8 apples in a basket is the 4/7 of pears..how many fruits in the basket
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! let A = the number of apples.
let P = the number of pears.
A + P = T, where T is the total number of fruits in the basket.
since A = 8, then the equation becomes:
8 + P = T
you are given that the 8 apples in the basket is equal to 4/7 of the number of pears in the basket.
the formula for that is 8 = 4/7 * P
multiply both sides of this formula by 7/4 to get 7/4 * 8 = 7/4 * 4/7 * P
simplify to get 7/4 * 8 = P
solve for P to get P = 7/4 * 8 = 14
there are 8 apples in the basket and 14 pears in the basket.
the ratio of apples to pears is 8/14 which is equivalent to 4/7.
the solution looks good.
the number of apples and pears in the basket is 8 + 14 = 22.
A + P + T becomes 8 + 14 = T which becomes 22 = T
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