Question

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（Algebra）

Lakshmi is trying to throw basketballs through hoops at a fair. If a ball goes through a hoop, she receives 50p, but if it does not she has to pay 20p for the shot. After 15 shots, Lakshmi finds she has made a profit of £1.20. How many times did Lakshmi successfully throw a ball through a hoop?

Answer 1

Answer:

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Lakshmi is trying to throw basketballs through hoops at a fair. If a ball goes through a hoop, she receives 50p, but if it does not she has to pay 20p for the shot. After 15 shots, Lakshmi.

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Answer 2

Answer:

6

Step-by-step explanation:

We know that 1 pound is equal to 100 pence

Let the number of times the ball goes through the hoop be denoted as $x$

Then, after 15 shots, the number of times the ball does not go through the hoop is  $(15-x)$

We know that  If a ball goes through a hoop, she receives 50p, but if it does not she has to pay 20p for the shot.

As such, we can form the following relationship;

$50x-20(15-x)=1.2*100\\50x-300+20x=120\\50x+20x=120+300\\70x=420\\x=6$

Therefore the number of times Lakshmi successfully throws a ball through the hoop is 6