Question

Leonard it sells small watermelons for seven dollars each and large watermelons for $10 each one day the number of small watermelons he saw was 15 more than the number of large watermelons and he made a total of $394 how many small and how many large watermelons a did he sell?

Answer 1

He sold 32 small watermelons and 17 large watermelons.

Step-by-step explanation:

Let,

Small watermelons = x

Large watermelons = y

Cost of one small watermelon = $7

Cost of one large watermelon = $10

According to given statement;

x = y+15   Eqn 1

7x+10y=394   Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$7(y+15)+10y=394\\7y+105+10y=394\\17y=394-105\\17y=289$

Dividing both sides by 17

$\frac{17y}{17}=\frac{289}{17}\\y=17$

Putting y=17 in Eqn 1

$x=17+15\\x=32$

He sold 32 small watermelons and 17 large watermelons.

Keywords: linear equations, substitution method

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