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
Simple: `$0.05 + $1.05 = $1.10` if it was 10 cent instead it would not work out `$0.10 + $1.10 ≠ $1.10` This is not exactly college level math.
I think your mistake is here to confuse the total with the price of the bat. The total is the price of the ball and the bat. If the ball was ten cent and the bat was one dollar more then the bat would be one dollar and ten cent and the total would one dollar and twenty cent.
To do it the math way you do it in school. 🦇 is the bat and ⚾ is the ball.
🦇 + ⚾ = $1.10
and
🦇 = ⚾ + $1.00
Put the second equation in the first and you get
⚾ + $1.00 + ⚾ = $1.10
move stuff around a bit and you get:
⚾ + ⚾ + $1.00 = $1.10
subtrract $1 from both sides and you get
⚾ + ⚾ = $0.10
divide both sides by two and you get
⚾ = $0.05
put that into the first equation and you get
🦇 + $0.05 = $1.10
subtract $0.04 from both sides and you get
🦇 = $1.05
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