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 Attempt following question by selecting a choice to answer. DMr.Charlie rents a floral arch for 15 hours and a barbeque grill for 3 hours by paying \$261 for his house warming function. He rents the floral arch for 7 hours and the barbeque grill for 3 hours by paying \$141 for another function. Find the hourly rates of floral arch and barbeque grill.ee   DDA.  D\$18 for floral arch, \$15 for barbeque grillB.  D\$15 for floral arch, \$14 for barbeque grillC.  D\$17 for floral arch, \$12 for barbeque grillD.  D\$15 for floral arch, \$12 for barbeque grillD D Step 3: Let x be the rental charges for the floral arch.Step 4: Let y be the rental charges for the barbeque grill.Step 5: 15x + 3y = 261 --- (1)[Linear Equation for the rent of floral arch and barbeque grill for house warming function.]Step 6: 7x + 3y = 141 --- (2)[Equation for the rent of floral arch and barbeque grill for another function.]Step 7: [Rearrange Equation 1.]3y = 261 - 15xStep 8: [Divide Equation 1 with 3 on both sides.]y = 87 - 5x --- (3)Step 9: [Substitute y = (87 - 5x) in Equation 2.]7x + 3(87 - 5x) = 141Step 11: [Use distributive property.]7x - 15x + 261 = 141Step 13: [Combine like terms.]- 8x + 261 = 141Step 15: [Subtract 261 from each side.]- 8x = - 120Step 16: [Solve for x.]x = 15Step 17: [Substitute x = 15 in Equation 3.]y = 87 - 5(15)Step 18: [Solve for y.]y = 12Step 19: The hourly rates of floral arch and barbeque grill are \$15 and \$12.