Measurement and Geometry

Remittances and exchange rates

Geometry & measurement

Padala at palitan ng pera

OFW remittances turn dollars, riyals and yen into pesos; practise currency conversion, hidden fees and percentage change in rates.

Where it fits

Units and Conversion · Term 1 · Weeks 6–9
Earning Money and Percentages · Term 1 · Weeks 1–2

Competencies

gm11.t1.w8.c2 Solve problems involving the conversion of currencies.
gm11.t1.w1.c2 Apply a percentage increase or decrease in various contexts:

The data

Selected exchange rates (pesos per unit of foreign currency)
Currency	Code	Pesos per unit	Typical OFW destination
US dollar	USD	₱57.50	USA, Middle East contracts
Saudi riyal	SAR	₱15.33	Saudi Arabia
UAE dirham	AED	₱15.65	Dubai, Abu Dhabi
Hong Kong dollar	HKD	₱7.37	Hong Kong
Japanese yen	JPY	₱0.38	Japan
Euro	EUR	₱62.10	Italy, Spain
Singapore dollar	SGD	₱43.20	Singapore

Pesos per unit by Code

Source: Representative 2026 figures for classroom use; check current official rates before using for real decisions. Rates move daily; these approximate 2026 mid-market levels. Check the BSP reference rate.

Scenario and worked example

Padala day

Engage

Every 15th, Tita Mila in Riyadh sends 2,000 riyals. Her sister compares two remittance apps: one charges a flat ₱150 fee at ₱15.33 per riyal, the other has 'no fee' but pays ₱15.20 per riyal. Which puts more pesos in the family's hands?

Worked example

Explain

\text{App A: } 2{,}000 \times 15.33 - 150 = 30{,}510

\text{App B: } 2{,}000 \times 15.20 = 30{,}400

\text{App A is better by } 110 \text{ pesos}

Two directions of conversion

Elaborate

Pesos from foreign currency: multiply by the rate. Foreign currency from pesos: divide by the rate. Keep track of units as you would with metres and centimetres.

\text{PHP} = \text{USD} \times 57.50 \qquad \text{USD} = \frac{\text{PHP}}{57.50}

When the peso weakens

Extend

A rate rising from ₱55 to ₱57.50 per dollar means each dollar buys more pesos: good for families receiving remittances, bad for importers and for students paying fees abroad.

Discuss in class

Why does a 'no fee' service still make money?
If the peso strengthens to ₱52 per dollar, how much less does a US$400 remittance deliver?
Which is the larger cost on a US$300 remittance: a ₱150 flat fee or a 0.5% worse rate?

Problems

5 problems · check your answer, then open the solution

Problem 1 Basic

An OFW sends US$500 home when the exchange rate is ₱57.50 per dollar. How many pesos does the family receive before fees?

Your answer (₱)
Show step-by-step solution
1. $500 \times 57.50 = 28{,}750$ pesos.
Answer: 28750 ₱
Problem 2 Standard

A family wants to send ₱20,000 to a student abroad. At ₱57.50 per US dollar, how many dollars is that? Round to the nearest cent.

Your answer (US$)
Show step-by-step solution
1. Divide pesos by the rate: $20{,}000 \div 57.50 \approx 347.826$ .
2. About US$347.83.
Answer: 347.83 US$
Problem 3 Standard

The mid-market rate is ₱57.50 per dollar, but a remittance company pays out at ₱57.20. How many pesos does the family lose on a US$300 remittance because of the lower rate?

Your answer (₱)
Show step-by-step solution
1. At mid-market: $300 \times 57.50 = 17{,}250$ .
2. At the company's rate: $300 \times 57.20 = 17{,}160$ .
3. Difference: $90$ pesos, a hidden fee of about 0.5%.
Answer: 90 ₱
Problem 4 Basic

A domestic worker in Saudi Arabia sends 2,000 riyals at ₱15.33 per riyal. Find the peso amount.

Your answer (₱)
Show step-by-step solution
1. $2{,}000 \times 15.33 = 30{,}660$ pesos.
Answer: 30660 ₱
Problem 5 Challenge Non-routine

Last year the rate was ₱55.00 per dollar; this year it is ₱57.50. An OFW sends the same US$400 monthly. By what percentage did the peso amount the family receives increase? Round to two decimal places.

Your answer (%)
Show step-by-step solution
1. Last year: $400 \times 55 = 22{,}000$ ; this year: $400 \times 57.50 = 23{,}000$ .
2. Increase: $1{,}000$ ; percentage $= 1{,}000/22{,}000 \approx 4.55\%$ .
3. The percentage equals the change in the rate itself: $2.50/55 \approx 4.55\%$ .
Answer: 4.55 %

Currency and interest calculator More practice: Units and Conversion More practice: Earning Money and Percentages