On Friday mike and Steve shot baskets and mike made three times as many as Steve on Saturday mike made seven fewer baskets than

Question

3 years ago

15

he did on Friday, while Steve made nine more than he did on Friday. If they tied on Saturday how many baskets did each make on Friday

1 answer:

Triss [41] · Answer 1 · 2022-07-15T08:01:59+03:00

Mike made 24 baskets on Friday and Steve made 8 baskets on Friday.

Step-by-step explanation:

Let,

Baskets shot by Mike = x

Baskets shot by Steve = y

According to given statement;

On Friday mike and Steve shot baskets and mike made three times as many as Steve.

x = 3y Eqn 1

on Saturday mike made seven fewer baskets than he did on Friday.

Baskets of Mike = x-7

Steve made nine more than he did on Friday.

Baskets of Steve = y+9

As they both tied on Saturday, therefore,

Baskets of Mike on Saturday = Baskets of Steve on Saturday

$x-7=y+9$

Putting x=3y from Eqn 1

$3y-7=y+9\\3y-y=9+7\\2y=16$

Dividing both sides by 2

$\frac{2y}{2}=\frac{16}{2}\\y=8$

Putting y=8 in Eqn 1;

$x=3(8)\\x=24$

Mike made 24 baskets on Friday and Steve made 8 baskets on Friday.

Keywords: linear equation, substitution method

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