Respuesta :
Let the total cost of the meal be = x
Let Emily pays the smaller ratio or amount.
Emily's dad pays = 52.20
Emily and her dad share in the ratio = [tex]\frac{2}{3}[/tex] or 2:3
The given ratio means that Emily pays [tex]\frac{2}{2+3}= \frac{2}{5}[/tex] of the total and dad pays [tex]\frac{3}{2+3}= \frac{3}{5}[/tex] of the total.
As dad paid 52.20 so,
[tex](\frac{3}{5})*x=52.20[/tex]
[tex]3x=261[/tex]
[tex]x=87[/tex]
Hence, total cost of the meal is £87 and Emily's share is £34.80
The total cost of the meal if Emily’s dad pays £[tex]52.20[/tex] is [tex]\boxed{\pounds87}.[/tex]
Further explanation:
Given:
Emily and her dad share the cost of the meal in the ratio of [tex]\dfrac{2}{3}.[/tex]
Emily’s dad pays £[tex]52.20[/tex]
Explanation:
Emily and her dad share the cost of the meal in the ratio of [tex]\dfrac{2}{3}.[/tex]
Consider the share of Emily in the cost of the meal be [tex]2x.[/tex]
Consider the share of Emily’s dad in the cost of the meal be [tex]3x.[/tex]
Consider the total amount of the meal as y.
The relation between x and y can be expressed as follows,
[tex]\begin{aligned}2x + 3x &= y\\5x&= y\\\end{aligned}[/tex]
Emily’s dad pays £[tex]52.20.[/tex]
[tex]\begin{aligned}3x&= 52.20\\x&= \frac{{52.20}}{3}\\x&= 17.4\\\end{aligned}[/tex]
The value of [tex]x[/tex] is [tex]17.4.[/tex]
Substitute [tex]17.4[/tex] for [tex]x[/tex] in equation [tex]5x = y[/tex] to obtain the total amount.
[tex]\begin{aligned}y&= 5\times17.4\\&= 87\\\end{aligned}[/tex]
The total cost of the meal if Emily’s dad pays £[tex]52.20[/tex] is [tex]\boxed{\pounds87}.[/tex]
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 https://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.
