Why is the answer to this question 5 cents and not 10 cents? “A bat and a ball cost $1.10 in total. The bat costs $1 more than the ball. How much does the ball cost?”
In: Mathematics
If the ball costs $0.10, then the bat would cost $1.10. In total, that would be $1.20 for the bat and ball.
If the ball costs $0.05, then the bat costs $1.05. Together, $1.10.
Ball cost 5 cents
Add 1 dollar
That is $1.05
Add that to the cost of the ball
Total is $1.10
What is 1.05 + .05? 1.10. If the ball was .10, the bat would be 1.10, bringing the total to 1.20
Because if it were 10, the bat would cost 1$. Which means the bat is 90 cents more than the ball. Bat – 1.05. Ball – 0.05. Total – 1.10. 1.05-0.05=1$. Hope this helped.
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The bat doesn’t cost $1, it cost $1 MORE than the ball. If the ball cost 10 cents, the bat would cost $ 1.10 for a total of $1.20. The ball cost 5 cents making the bat $1.05 for a total of $1.10.
If the original cost of the ball is 5 cents then 0.05+(1+0.05)=1.10.
It’s the only way this could work, if the ball was 10 cents then it would be 0.10+(1+0.10)=$1.20.
So: x = price of the bat , y = price of the ball, x+y=1.10 but also x=y+1.00.. so substituting x you have y + 1.00 + y = 1.10 meaning 2y = 0.10, thus y = 0.05.
Bat + Ball = 1.10 (1)
Bat = 1 + Ball (2)
Substitute (2) in (1)
(1 + Ball) + Ball = 1.10
1 + 2Ball = 1.10
2 Ball = 1.10 – 1
2Ball = 0.10
Ball = 0.10 / 2
Therefore, Ball = 0.05 (3)
Substitute (3) in (1) to find cost of Bat.
Bat + 0.05 = 1.10
Hence, Bat = 1.10 – 0.05 = 1.05
Bat (1.05) costs 1 dollar more than the Ball (0.05).
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