on friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. on…

on friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. on saturday, their lane rentals were down by $\frac{1}{8}$ but the concessions increased by $\frac{1}{2}$. what is the total amount that the bowling alley earned in lane rentals and concessions on friday and saturday?\n$1,355.95\n$1,580.10\n$1,992.48\n$2,611.05

on friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. on saturday, their lane rentals were down by $\frac{1}{8}$ but the concessions increased by $\frac{1}{2}$. what is the total amount that the bowling alley earned in lane rentals and concessions on friday and saturday?\n$1,355.95\n$1,580.10\n$1,992.48\n$2,611.05

Answer

Explanation:

Step1: Calculate Friday's total earnings

Add Friday's lane - rental and concession - stand earnings. $842.72 + 412.38=1255.1$

Step2: Calculate Saturday's lane - rental earnings

Lane rentals on Saturday were down by $\frac{1}{8}$ of Friday's lane - rental earnings. So, Saturday's lane - rental earnings are $(1-\frac{1}{8})$ of Friday's lane - rental earnings. $842.72\times(1 - \frac{1}{8})=842.72\times\frac{7}{8}=737.38$

Step3: Calculate Saturday's concession - stand earnings

Concessions on Saturday increased by $\frac{1}{2}$ of Friday's concession - stand earnings. So, Saturday's concession - stand earnings are $(1 + \frac{1}{2})$ of Friday's concession - stand earnings. $412.38\times(1+\frac{1}{2})=412.38\times\frac{3}{2}=618.57$

Step4: Calculate Saturday's total earnings

Add Saturday's lane - rental and concession - stand earnings. $737.38+618.57 = 1355.95$

Step5: Calculate the total earnings for Friday and Saturday

Add Friday's total earnings and Saturday's total earnings. $1255.1+1355.95 = 2611.05$

Answer:

D. $$2,611.05$