Question

Together, Dante and Mia have a total of 350 pennies in their piggy banks. After Dante lost ½ of his pennies and Mia lost ⅓ of her pennies, they both had an equal number of pennies. Altogether, how many pennies did they lose?

Answer 1

Answer:

they lose together150 pennies as dante has 200 pennies and mia has 150 pennies .

Answer 2

They lost 140 pennies together

Step-by-step explanation:

Let x be the number of pennies of Mia

Together, Dante and Mia have a total of 350 pennies in their piggy banks.

So, Dante has 350-x pennies

Dante lost pennies = $\frac{1}{2}(350-x)$

Mia lost pennies = $\frac{1}{3}x$

After this they both had equal no. of pennies

So, $\frac{1}{2}(350-x)=\frac{1}{3}x$

$1050-3x=2x$

$1050=5x$

$\frac{1050}{5}=x$

$210=x$

Dante lost pennies = $\frac{1}{2}(350-x)$ = $\frac{1}{2}(350-210)=70$

Mia lost pennies = $\frac{1}{3}x$=$\frac{1}{3}(210)=70$

They lost together = 70+70=140

Hence They lost 140 pennies together

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