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Matthew visited the fruits garden last weekend and helped farmers count the fruits. There were 10% more dragon fruits than passion fruits. When 75 fruits were added, the dragon fruits were increased by 60% and the passion fruits increased by 9%. How many fruits were there at first?

Answer :

Answer:

Step-by-step explanation:

let number of passion fruits=x

number of dragon fruits=x+10% of x

=x+0.1 x=(1+0.1)x=1.1 x

total number of fruits=x+1.1 x=(1+1.1)x=2.1 x

1.1x+60% of 1.1x+x+9% of x=2.1x+75

1.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+75

1.1x+0.66 x+x+0.09 of x =2.1x+75

2.1 x+0.75x-2.1 x=75

0.75 x=75

[tex]\frac{75}{100}x =75\\x=75 \times \frac{100}{75} =100\\Originally ~total ~number~ of~ fruits=2.1x=2.1 \times100=210[/tex]

Answer:

Step-by-step explanation:

let number of passion fruits=xnumber of dragon fruits=x+10% of x=x+0.1 x=(1+0.1)x=1.1 xtotal number of fruits=x+1.1 x=(1+1.1)x=2.1 x1.1x+60% of 1.1x+x+9% of x=2.1x+751.1 x+0.6 of 1.1 x+x+0.09 of x=2.1x+751.1x+0.66 x+x+0.09 of x =2.1x+752.1 x+0.75x-2.1 x=750.75 x=75

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