On Monday, a fruit vendor bought $80$ pieces of fruit to sell at her market, $35\%$ of which were apples and the rest of which were oranges. On Tuesday, the vendor bought the same number of oranges, but she only bought $73$ pieces of fruit. What percentage of the fruit she bought on Tuesday was apples?

View step-by-step help

Home

Math Problems

Grade 7

Percents of numbers: word problems

Full solution

Q. On Monday, a fruit vendor bought

80

pieces of fruit to sell at her market,

35\%

of which were apples and the rest of which were oranges. On Tuesday, the vendor bought the same number of oranges, but she only bought

73

pieces of fruit. What percentage of the fruit she bought on Tuesday was apples?

Calculate Apples on Monday: Calculate the number of apples and oranges bought on Monday. $\newline$ Since $35\%$ of the $80$ pieces of fruit were apples, we calculate the number of apples as follows: $\newline$ Number of apples = $35\%$ of $80$ $\newline$ Number of apples = $0.35 \times 80$ $\newline$ Number of apples = $28$
Calculate Oranges on Monday: Calculate the number of oranges bought on Monday. $\newline$ Since the rest of the fruit were oranges, we subtract the number of apples from the total number of fruit to find the number of oranges: $\newline$ Number of oranges $= \text{Total number of fruit} - \text{Number of apples}$ $\newline$ Number of oranges $= 80 - 28$ $\newline$ Number of oranges $= 52$
Determine Oranges on Tuesday: Determine the number of oranges bought on Tuesday. The vendor bought the same number of oranges on Tuesday as on Monday, which is $52$ oranges.
Calculate Apples on Tuesday: Calculate the number of apples bought on Tuesday. $\newline$ Since the vendor bought $73$ pieces of fruit in total on Tuesday and we know that $52$ of those were oranges, we can find the number of apples by subtracting the number of oranges from the total number of fruit: $\newline$ Number of apples on Tuesday = Total number of fruit on Tuesday - Number of oranges $\newline$ Number of apples on Tuesday = $73 - 52$ $\newline$ Number of apples on Tuesday = $21$
Calculate Percentage of Apples on Tuesday: Calculate the percentage of apples bought on Tuesday. $\newline$ To find the percentage of apples, we divide the number of apples by the total number of fruit bought on Tuesday and multiply by $100$ : $\newline$ Percentage of apples = (Number of apples on Tuesday / Total number of fruit on Tuesday) $\times 100$ $\newline$ Percentage of apples = $(21 / 73) \times 100$ $\newline$ Percentage of apples $\approx 28.77\%$