The total cost of the meal if Emily’s dad pays £
is ![\boxed{\pounds87}.](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cpounds87%7D.)
Further explanation:
Given:
Emily and her dad share the cost of the meal in the ratio of ![\dfrac{2}{3}.](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D.)
Emily’s dad pays £![52.20](https://tex.z-dn.net/?f=52.20)
Explanation:
Emily and her dad share the cost of the meal in the ratio of ![\dfrac{2}{3}.](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D.)
Consider the share of Emily in the cost of the meal be ![2x.](https://tex.z-dn.net/?f=2x.)
Consider the share of Emily’s dad in the cost of the meal be ![3x.](https://tex.z-dn.net/?f=3x.)
Consider the total amount of the meal as y.
The relation between x and y can be expressed as follows,
![\begin{aligned}2x + 3x &= y\\5x&= y\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D2x%20%2B%203x%20%26%3D%20y%5C%5C5x%26%3D%20y%5C%5C%5Cend%7Baligned%7D)
Emily’s dad pays £![52.20.](https://tex.z-dn.net/?f=52.20.)
![\begin{aligned}3x&= 52.20\\x&= \frac{{52.20}}{3}\\x&= 17.4\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D3x%26%3D%2052.20%5C%5Cx%26%3D%20%5Cfrac%7B%7B52.20%7D%7D%7B3%7D%5C%5Cx%26%3D%2017.4%5C%5C%5Cend%7Baligned%7D)
The value of
is ![17.4.](https://tex.z-dn.net/?f=17.4.)
Substitute
for
in equation
to obtain the total amount.
![\begin{aligned}y&= 5\times17.4\\&= 87\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7Dy%26%3D%205%5Ctimes17.4%5C%5C%26%3D%2087%5C%5C%5Cend%7Baligned%7D)
The total cost of the meal if Emily’s dad pays £
is ![\boxed{\pounds87}.](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cpounds87%7D.)
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Fractions
Keywords: Emily, Emily’s dad, share, the cost of the meal, ratio, fraction, share of Emily, Emily’s dad pays.