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24 Jan 2025, 09:56
Kudos
Bookmarks
x: 215
y: 10
A bakery produces an average of 170 cupcakes per day for 5 days and \(x\) cupcakes per day for the next \(y\) days. The bakery’s overall average production is 200 cupcakes per day for the entire \(5 + y\) day period.
Select for x the value of \(x\) and for y the value of \(y\) that would be jointly consistent with the given information. Make only two selections, one in each column.
Select for x the value of \(x\) and for y the value of \(y\) that would be jointly consistent with the given information. Make only two selections, one in each column.
| x | y | |
| 10 | ||
| 50 | ||
| 75 | ||
| 215 | ||
| 250 |
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Official Answer
x: 215
y: 10
24 Jan 2025, 09:56
Kudos
Bookmarks
Official Solution:
• 170 cupcakes per day for 5 days results in a total of 170 * 5 = 850 cupcakes.
• \(x\) cupcakes per day for \(y\) days results in a total of \(xy\) cupcakes.
• 200 cupcakes per day for \(5 + y\) days results in a grand total of \(200(5 + y) = 1,000 + 200y\) cupcakes.
From this, we get \(850 + xy = 1,000 + 200y\), which simplifies to \(xy - 200y = 150\).
From the options, only \(x = 215\) and \(y = 10\) satisfy this equation.
Correct answer:
x "215"
y "10"
Bunuel
• 170 cupcakes per day for 5 days results in a total of 170 * 5 = 850 cupcakes.
• \(x\) cupcakes per day for \(y\) days results in a total of \(xy\) cupcakes.
• 200 cupcakes per day for \(5 + y\) days results in a grand total of \(200(5 + y) = 1,000 + 200y\) cupcakes.
From this, we get \(850 + xy = 1,000 + 200y\), which simplifies to \(xy - 200y = 150\).
From the options, only \(x = 215\) and \(y = 10\) satisfy this equation.
Correct answer:
x "215"
y "10"
