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Apples cost 21 cents each and bananas cost 10 cents each. Bob buys four more bananas than apples. His total bill is $3.50. How many apples and bananas did he buy?

Respuesta :

absor201

Bob bought 10 apples and 14 bananas.

Step-by-step explanation:

Cost of one apple = 21 cents

Cost of one banana = 10 cents

Total bill = $3.50 = 3.50*100 = 350 cents

Let,

x be the number of apples.

y be the number of bananas.

According to given statement;

21x+10y=350    Eqn 1

y=x+4     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

[tex]21x+10(x+4)=350\\21x+10x+40=350\\31x=350-40\\31x=310[/tex]

Dividing both sides by 31

[tex]\frac{31x}{31}=\frac{310}{31}\\x=10[/tex]

Putting x=10 in Eqn 2;

[tex]y=10+4\\y=14\\[/tex]

Bob bought 10 apples and 14 bananas.

Keywords: linear equations, variables

Learn more about variables at:

  • brainly.com/question/3126500
  • brainly.com/question/3306327

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