Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there
Answers
Answer:
There are 65 toys.
Step-by-step explanation:
Let the total no of toys be x
First child have x/10 toys
Second child have x/10 + 12
Third child have x/10 + 1
Fourth child have 2 × x/10 = x/5
By condition,
x/10 + x/10+12 + x/10+1 + x/5 = x
=> 5x/10 + 13 = x => 5x + 130/10 = x
=> 5x + 130 = 10x => 10x - 5x = 130
=> 5x = 130 => x = 130/5 = 65 {answer}
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Answer:
Toys
Logic Puzzles
Permutations and Combinations
Mathematics Word Problems
Child Development
+5
4 children have small toys. First child has 1/10 of the toys, second child has 12 more toys than the first, third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?
Answer
Toys
Logic Puzzles
Permutations and Combinations
Mathematics Word Problems
Child Development
+5
4 children have small toys. First child has 1/10 of the toys, second child has 12 more toys than the first, third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?
Answer
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Wesley Long, worked at Bill Young Productions
Answered March 6, 2019
30.
T = Number of toys.
A, B, C, & D = Children 1 - 4
Givens:
A = T/10
B = A+12
C = A + 1
D = 2C
Substitution in terms of T:
A = T/10
B = T/10 + 12
C = T/10 + 1
D = 2 (T/10 + 1)
Known: The 4 children have all the toys
T = A + B + C + D
Substitution in terms of T:
T = T/10 + T/10 + 12 + T/10 + 1 + 2(T/10 + 1)
Reduce parenthetical(s)
T = T/10 + T/10 + 12 + T/10 + 1 + 2T/10 + 2
Multiply both sides by 10 to remove divisors.
10T = T + T + 120 + T +10 + 2T +20
Simplify expression on right-hand side
10T = 5T + 150
Balance equation, placing all of T on one side, and all constants on the other
5T = 150
Divide both sides of equation by 5 to resolve T
T = 30
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17 Answers
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Wesley Long, worked at Bill Young Productions
Answered March 6, 2019