Question

Tom has a new set of golf clubs. Using a club 8, the ball travels an average distance of 100 meters. Using
a club 7, the ball travels an average distance of 108 meters. Using a club 6, the ball travels an average distance
of 114 meters. How far will the ball go if Tom uses a club 5?

Answer 1

Step-by-step explanation:

$Let the initial money with Amy and Betty be x and y.</p><p></p><p>★ According to the first condition, Amy had 3 times as much money as Betty.</p><p></p><p>\longrightarrow⟶ x = 3y ---- (Equation I)</p><p></p><p>Money left after spending 60 :</p><p></p><p>Amy = (x – 60)</p><p>Betty = (y – 60)</p><p>★ According to the second condition,</p><p></p><p>After spending 60, Amy had 4 times as much money as Betty.</p><p></p><p>\longrightarrow⟶ (x – 60) = 4(y – 60)</p><p></p><p>\longrightarrow⟶ x – 60 = 4y – 240</p><p></p><p>\longrightarrow⟶ 3y – 60 = 4y – 240 ----- (Substitute equation I)</p><p></p><p>\longrightarrow⟶ 3y – 4y = –240 + 60</p><p></p><p>\longrightarrow⟶ –y = –180</p><p></p><p>\longrightarrow⟶ y = 180</p><p></p><p>Money with Betty = 180</p><p></p><p>________________________</p><p>★ Money with Amy :</p><p></p><p>Substitute the value of y in equation I.</p><p></p><p>\longrightarrow⟶ x = 3(180)</p><p></p><p>\longrightarrow⟶ x = 540</p><p></p><p>Money with Amy = 540</p><p></p><p>Therefore, money with Amy$